GED Math : Points and Lines
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Example Questions
Example Question #1 : Points And Lines
What is the 
The line has no 
The 
The 
Example Question #2 : Points And Lines
What is the 
The elimination method will work here. Multiply the second equation by 
Example Question #3 : Points And Lines
What is the 
The lines of the equations do not intersect.
The elimination method will work here. Multiply the second equation by 
Example Question #4 : Points And Lines
What is the 
The lines do not intersect at any point.
The elimination method will work here. Multiply the second equation by 
Example Question #5 : Points And Lines
What is the 
The elimination method will work here. Multiply the second equation by 3 on both sides, then add to the first:
Example Question #5 : Points And Lines
Which of the following is an equation for the line between the points 
Probably the easiest way to solve this question is to use the point-slope form of an equation. Remember that for that format, you need a point and the slope of the line. (Pretty obvious, given the name!) For a point 
Now, recall that the slope is calculated from two points using the formula:
For our data, this is:
Thus, for your point-slope form of the line, you get the equation:
Just simplify things now...
Example Question #6 : Points And Lines
Which of the following is an equation for the line between the points 
Probably the easiest way to solve this question is to use the point-slope form of an equation. Remember that for that format, you need a point and the slope of the line. (Pretty obvious, given the name!) For a point 
Now, recall that the slope is calculated from two points using the formula:
For our data, this is:
Now, that is an awkward slope, but just be careful with the simplification. For the point-slope form of the line, you get the equation:
Just simplify things now...
Now, find a common denominator for the fractions. (It is 
Example Question #7 : Points And Lines
Which of the following lines contains the point 
To solve for a question like this, the easiest thing to do is to plug in your 
For example, consider the wrong option,
Substitute in your values, and you get:
Now, for your correct option, you get:
This certainly makes sense! It also means that the point is on the line in question!
Example Question #5 : Points And Lines
Which of the following points is on the line 
Upon substitution of the answer choices, we will need to satisfy the equation, by plugging in the x and y-values of the points given.
The answer is:
Example Question #5 : Points And Lines
Find the equation of the line given the two points 
The equation of a line in slope-intercept form is 
Write the formula for slope.
Substitute the points.
The y-intercept from the point 
The equation of the line is:
The answer is:
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