Answer:
[tex]y = x +2[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (-3,-1)[/tex]
[tex](x_2,y_2) = (1,3)[/tex]
So, we have:
[tex]m = \frac{3 - (-1)}{1 - (-3)}[/tex]
[tex]m = \frac{3 +1}{1 +3}[/tex]
[tex]m = \frac{4}{4}[/tex]
[tex]m =1[/tex]
The equation in slope intercept form is calculated using
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 1(x - (-3)) -1[/tex]
[tex]y = 1(x +3) -1[/tex]
[tex]y = x +3 -1[/tex]
[tex]y = x +2[/tex]
