Answer:
[tex]y = 3x - 6[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (4,6)[/tex]
[tex](x_2,y_2) = (3,3)[/tex]
Required
Equation in slope intercept
First, calculate the slope.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3-6}{3-4}[/tex]
[tex]m = \frac{-3}{-1}[/tex]
[tex]m = 3[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 3(x - 4) +6[/tex]
[tex]y = 3x - 12+6[/tex]
[tex]y = 3x - 6[/tex]
