All Algebra 1 Resources
Example Questions
Example Question #2 : How To Find Out If A Point Is On A Line With An Equation
Which of the following ordered pairs lies on the line given by the equation ?
To determine which ordered pair satisfies the equation, it would help to rearrange the equation to slope-intercept form.
Then, plug in each ordered pair and see if it satisfies the equation. We are looking for an value that produces the desired answer.
satisfies the equation. All of the other points do not.
(Note: you could also use the original equation in standard form).
Example Question #1 : How To Find Out If A Point Is On A Line With An Equation
The point (3,2) is located on which of these lines?
To determine whether a point is on a line, you can plug it into the equation to see if the equation remains valid/equal with the point.
Plugging the point (3,2) into the equation gives you
which works out. None of the other equations would remain equal after pluggin in (3,2).
Example Question #1 : How To Find Out If A Point Is On A Line With An Equation
The point (2,7) lies on which of these lines?
None of these answers
To determine whether a point is located in a given line, simply plug in the coordinates of the point into the line. In this case, plugging in the coordinates into the only line where you can plug in the coordinates and have a valid equation is . Plugging in (2,7) would give you an equation of , which works out to .
Example Question #2 : How To Find Out If A Point Is On A Line With An Equation
Which of these points fall on the graph of the line
Two of these points fall on the graph of this equation.
All three of these points fall on the graph of this equation.
All three of these points fall on the graph of this equation.
To find out if a point is on a line with an equation, we just need to substitute in the point's and values and see if the equation holds true. For example, let's look at the point . Substitution into the equation gives us
or
, which is true.
So, this point does fall on the line. Doing the same with the other two points shows us that yes, all three of them fall on the line expressed by this equation.
Example Question #1 : How To Find Out If A Point Is On A Line With An Equation
Which point is on the line
To determine if a point is on a line you can simply subsitute the x and y coordinates into the equation. Another way to solve the problem would be to graph the line and see if it falls on the line. Plugging in will give which is a true statement, so it is on the line.
Example Question #11 : How To Find Out If A Point Is On A Line With An Equation
Which of these coordinate pairs or points lies on the line .
To see if a point is directly on a line, plug that point into the equation replacing the x in the slope intercept equation by the x coordinate and the y with the y coordinate respectively and then simplify. If the equation is a true statement like 1=1 or 5=5 then that coordinate pair is on the line.
Since we ended up with a true statement, the point indeed is on the line .
Example Question #12 : How To Find Out If A Point Is On A Line With An Equation
Given the equation , which of these points lie on this line?
None of these.
None of these.
To ascertain if a point lies on a line, substitute the coordinate pair into the equation of the line and simplify. If the equation yields a true statement then that point lies on the line.
Unfortunately none of the points lie on our line, but this is how one would find out:
Based on the graph of this line it appears (1,1) is on this line.
Because this statement is not true, (1,1) is not on the line. Try this same method with the rest of the coordinate pairs to see that they do not lie on our line.
Example Question #13 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points belongs on the line ?
This question asks which of the given points belongs on the line . This is another way of asking which of the points does the line pass through.
This question can be quickly solved for by substituting in the given points. This may also be known as the "plug and chug" method.
Each point (coordinate) represents an and a value through this format:
Simply by arbitrarily substituting in the or into the equation and solving for or , you can determine if the point belongs on the line if you are left with the given point.
For example, using the point that does belong on the line:
substituting in the value from , where , into the equation , we can solve for
and given that in the coordinate , we know that this coordinate would belong.
If we did not receive the anticipated value from the coordinate, we can automatically deduce that the point does not belong on the line. For example, using and substituting in the value,
Because , we can deduce that does not belong on the line .
Example Question #14 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points does not belong on the line ?
This question asks which of the given points does not belong on the line . This is another way of asking which of the points does the line not pass through.
This question can be quickly solved for by substituting in the given points. This may also be known as the "plug and chug" method. But first, let's rewrite the equation in a more comfortable format with a positive . This can be achieved by multiplying to both sides of the equation so the result will be:
Each point (coordinate) represents an and a value through this format:
Simply by arbitrarily substituting in the or into the equation and solving for or , you can determine if the point belongs on the line if you are left with the given point.
For example, using a point that does belong on the line:
substituting in the value from , where , into the equation , we can solve for
and given that in the coordinate , we know that this coordinate would belong.
If we did not receive the anticipated value from the coordinate, we can automatically deduce that the point does not belong on the line. For example, using and substituting in the value,
Because , we can deduce that does not belong on the line .
Example Question #15 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points belongs on the line ?
This question asks which of the given points belongs on the line . This is another way of asking which of the points does the line pass through.
This question can be quickly solved for by substituting in the given points. This may also be known as the "plug and chug" method.
Each point (coordinate) represents an and a value through this format:
Simply by arbitrarily substituting in the or into the equation and solving for or , you can determine if the point belongs on the line if you are left with the given point.
For example, using the point that does belong on the line:
substituting in the value from , where , into the equation , we can solve for
and given that in the coordinate , we know that this coordinate would belong.
If we did not receive the anticipated value from the coordinate, we can automatically deduce that the point does not belong on the line. For example, using and substituting in the value,
Because , we can deduce that does not belong on the line .