Step 1: Use the slope formula y₂ - y₁/x₂ - x₁ to find the slope.
[tex]\frac{0 - (-4)}{-3 - 3}\\ \\\frac{4}{-6} = -\frac{2}{3}[/tex]
Step 2: Plug the slope we found and one point into the slope-intercept formula, y = mx + b.
[tex]y = mx + b\\\\0 = -\frac{2}{3}(6) + b\\\\0 = -4 + b\\\\4 = b[/tex]
Step 3: Put it all together.
[tex]y = -\frac{2}{3}x + 4[/tex]
