Answer:
[tex]y = x + 2[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the equation
First, pick any 2 corresponding coordinates
[tex](x_1,y_1) = (0,2)[/tex]
[tex](x_2,y_2) = (6,8)[/tex]
Next, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8-2}{6-0}[/tex]
[tex]m = \frac{6}{6}[/tex]
[tex]m =1[/tex]
The equation is calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (0,2)[/tex] and [tex]m =1[/tex]
[tex]y - 2 = 1(x - 0)[/tex]
[tex]y - 2 = (x - 0)[/tex]
[tex]y - 2 = x[/tex]
Make y the subject
[tex]y = x + 2[/tex]
