All High School Math Resources
Example Questions
Example Question #1 : How To Identify A Point In Pre Algebra
What is the slope of the line .
In the standard form of a line the slope is represented by the variable .
In this case the line has a slope of .
The answer is .
Example Question #2 : How To Identify A Point In Pre Algebra
If the equation of a line is , what is the y-intercept?
In the slope-intercept form of a line, , the y-intercept when the line intersects the y-axis.
It does this at .
So we plug in for in our equation to give us .
Anything multiplied by is so .
Our coordinates for the y-intercept are .
Example Question #3 : How To Identify A Point In Pre Algebra
What is the y-intercept of the line ?
In the standard form of a line the y-intercept occurs when the line intersects the y-axis.
It does this at
So we plug in for in our equation to give us .
Anything multiplied by is so .
Our coordinates for the y-intercept are .
Example Question #4 : How To Identify A Point In Pre Algebra
What is the slope of a line that is parallel to ?
Parallel lines have the same slope.
If an equation is in point-slope form, , we take the from our equation and set it equal to the slope of our parallel line.
In this case
The slope of our parallel line is .
Example Question #1 : How To Identify A Point In Pre Algebra
The point resides in quadrant I (the upper right quadrant), so both values must both be positive. The only possible solution is .
Example Question #2 : How To Identify A Point In Pre Algebra
What is the slope of a line that is perpendicular to ?
The slope of a perpendicular lines has the negative reciprocal of the slope of the original line.
If an equation is in point-slope form, , we use the from our equation as our original slope.
In this case
First flip the sign to get .
To find the reciprocal you take the integer and make it a fraction by placing a over it. If it is already a fraction just flip the numerator and denominator.
Do this to make the slope
The slope of the perpendicular line is .
Example Question #2 : How To Identify A Point In Pre Algebra
What is the slope of the line with the equation ?
In the standard form equation of a line, , the slope is represented by the variable .
In this case the line has a slope of .
Therefore the answer is .
Example Question #6 : Graphing Lines
What is the slope of the line ?
In the slope-intercept form of a line, , the slope is represented by the variable .
In this case the line
has a slope of .
The answer is .
Example Question #3 : How To Identify A Point In Pre Algebra
What is the y-intercept of the line ?
In the slope-intercept form of a line, , the y-intercept is when the line intersects the y-axis.
It does this at .
So we plug in for in our equation
to give us
Anything multiplied by is so
Our coordinates for the y-intercept are .
Example Question #8 : Graphing Lines
What is the slope of a line that is parallel to ?
Parallel lines have the same slope.
If an equation is in slope-intercept form, , we take the from our equation and set it equal to the slope of our parallel line.
In this case .
The slope of our parallel line is .