Slope-Intercept Form

Writing the Equation

Example

Write the equation of the line containing the points (3, 2) and (-2, 4) in slope-intercept form.

Step 1. Findthe slope of the line, m using the slope formula.

slope_I-ex1


Step 2. Substitute the values for one point (3, 2) and the value for m of slope_I_ex1-2 into the slope-intercept form and solve for b.

slope_I_ex2.1


Step 3. Substitute m and b into the slope-intercept form.

slope_I-ex1-3

Step 4. Check the solution by substituting values of the second point into the equation.

slope_I-ex1-4