Answer:
[tex]y - 4x = 1[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,5)[/tex]
[tex](x_2,y_2) = (3,13)[/tex]
Required
The equation of the line
Back up:
First, calculate the slope(m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{13-5}{3-1}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m = 4[/tex]
Calculate the area using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y- 5 = 4(x - 1)[/tex]
[tex]y- 5 = 4x - 4[/tex]
Collect Like Terms
[tex]y - 4x = 5 - 4[/tex]
[tex]y - 4x = 1[/tex]
