1. Linear Equations in two variables
Standard form
Slope-intercept form
Point-slope form

2. Intercepts x-intercept The point where the graph intersects the
x-axis.
y-intercept
The point where the graph intersects the
y-axis.

3. Finding the intercepts
Find the x-intercept
Set y = 0
Solve for x
(x, 0)
Find the y-intercept
Set x = 0
Solve for y
(0, y)

4. Horizontal and Vertical lines
The equation of a horizontal line is given by ...
The equation of a vertical line is given by ...

5. Slope
The slope of a line is given by ...

6. Slope of a line Horizontal line ... Vertical line ... Rising line ...
Falling line ...

7. Find the slope of a line ...
given two points ...

8. Find the slope of a line ... given an equation ...
First put the equation in slope-intercept form ...
The coefficient of x is the slope.

9. Find the slope of a line ... given a graph ...
Find two points on the line ...
Determine the rise and the run ...
Rise
Run

10. Graph the line using the slope-intercept method …
Put the equation of the line in slope-intercept form …
Use the value of b to plot the y-int …
Run
Rise
Use the value of m to plot a second point …
Draw the line through the two points …

11. Graph the line using the
intercept method …
Determine the x-intercept and plot it …
Determine the y-intercept and plot it …
Draw the line through the two points …

12. Parallel and Perpendicular lines
The slopes of parallel lines are ...
The slopes of perpendicular lines are ...

13. Rate of change
The rate of change of y with respect to x on a line is given by ...