Today we will graph linear equations in slope intercept form.
There are 4 variables in this form of a linear equation. y represents the outcome or output after you substitute for x. x represents the input m represents the slope of the line b represents the y-intercept (where the line crosses the y-axis).
We can graph the linear equation quickly if it is in slope intercept form. –1 st plot the value of b on the y-axis –2 nd use the slope to find other points on the line –3 rd draw a line through the points
Example 1 1 st stepplot b on the y axis
Example 1 1 st stepplot b on the y axis 2 nd stepuse the slope to find other points that are on the line.
Example 1 1 st stepplot b on the y axis 2 nd stepuse the slope to find other points that are on the line. 3 rd stepdraw a line through the points
Example 2 1 st plot b on the y axis
Example 2 1 st stepplot b on the y axis 2 nd stepuse the slope to find other points that are on the line.
Example 2 1 st stepplot b on the y axis 2 nd stepuse the slope to find other points that are on the line. 3 rd stepdraw a line through the points
You Try It!
What if the equation is not in slope intercept form? Solve the equation for y Example: 4x-3y=18 -3y=-4x+18 y = (4/3)x-6 Now you can graph it because it is in y = mx + b form.
Try another one! Graph x = 7y -21 Solve the equation for y x = 7y -21 x + 21 = 7y 7y = x + 21 y = (1/7)x + 3