Question

Write the equation of the line that passes through the points (3, -4) and (-3, 0) in slope-intercept form.

Answer 1

Step 1: Use the slope formula y₂ - y₁/x₂ - x₁ to find the slope.

`(0 - (-4))/(-3 - 3)\\ \\(4)/(-6) = -(2)/(3)`

Step 2: Plug the slope we found and one point into the slope-intercept formula, y = mx + b.

`y = mx + b\\\\0 = -(2)/(3)(6) + b\\\\0 = -4 + b\\\\4 = b`

Step 3: Put it all together.

`y = -(2)/(3)x + 4`