First, find the slope (m): m = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{7 - 2}{3 - (-1})[/tex] = [tex]\frac{5}{4}[/tex]
Next, input ONE of the points (x₁, y₁) and the slope into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 7 = [tex]\frac{5}{4}[/tex](x - 3)
Lastly, isolate "y" to find the Slope-Intercept formula: y = mx + b
y - 7 = [tex]\frac{5}{4}x[/tex] - [tex]\frac{15}{4}[/tex]
y = [tex]\frac{5}{4x}[/tex] + [tex]\frac{13}{4}[/tex]
