Answer: y = [tex]\frac{-5}{3}x[/tex] + 7
Step-by-step explanation:
Since you are given a point (6, -3) and the slope [tex](-\frac{5}{3})[/tex], you can use the Point-Slope formula: y - y₁ = m(x - x₁); where (x₁, y₁) is the given point and m is the slope.
y - y₁ = m(x - x₁)
y - (-3) = [tex]-\frac{5}{3}[/tex](x - 6)
y + 3 = [tex]-\frac{5}{3}x[/tex] - [tex]-\frac{5}{3}[/tex](6)
y + 3 = [tex]-\frac{5}{3}x[/tex] + 10
-3 -3
y = [tex]-\frac{5}{3}x[/tex] + 7
