Answer:
[tex]y = -2x + 6[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,4)[/tex]
[tex](x_2,y_2) = (2,2)[/tex]
Required
Determine the line equation
First, we calculate the slope (m) using
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2-4}{2-1}\\[/tex]
[tex]m = \frac{-2}{1}[/tex]
[tex]m = -2[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 4 = -2(x - 1)[/tex]
Open bracket
[tex]y - 4 = -2x + 2[/tex]
[tex]y = -2x + 2 + 4[/tex]
[tex]y = -2x + 6[/tex]
