Answer:
y = [tex]-\frac{4}{3}[/tex]x + 6
Step-by-step explanation:
y = mx + b
m: slope
b: y-intercept
y-intercept point on the graph is (0, 6) because it's the point that's on the y-axis.
Therefore, y-intercept is 6.
Slope: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Point A: (0, 6)
Point B: (4, -2)
Slope (m) = [tex]\frac{-2 - 6}{4 - -2}[/tex]
[tex]m = \frac{-2 - 6}{4 +2}[/tex]
[tex]m = \frac{-8}{6}[/tex]
[tex]m = -\frac{4}{3}[/tex]
y = [tex]-\frac{4}{3}[/tex]x + 6
Hope this helped! <3
