Unit 4B – Graphing Linear Equations Study Guide
I. Graphing a line using slope-intercept method
1) Make sure the equation is in slope-intercept form (y = mx + b). If not, solve for y.
2) Identify the slope (m) and the y-intercept (b).
3) Plot the y-intercept (b)
4) Use the slope (m) to graph additional points to form the line.
II. To Graph a Line using the x and y intercepts
1) Let x = 0 to find the y-intercept (by substituting 0 into the x in the equation)
2) Let y = 0, to find the x-intercept (by substituting 0 into the x in the equation)
3) Plot the intercepts to form the line.
III. Write an equation for the line in slope intercept form.
1) Identify the y-intercept
2) Determine the slope
3) Substitute into y = mx + b
IV. Write an equation in slope-intercept form of the line that passes through two points.
1) Find the slope
2) Substitute the slope and the coordinates from one point into y = mx + b. Solve for b.
3) Write the equation of the line using the values for m and b.
V. Write an equation in point-slope form that passes through two points.
1) Find the slope
2) Substitute the slope and the coordinates from one point into: