The graph illustrates a linear function, because the graph is a straight line
The equation of the graph is (d) y = x +3
The points on the line are:
[tex](x_1,y_1) = (-3,0)[/tex]
[tex](x_2,y_2) = (0,3)[/tex]
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute values for x1, x2, y1 and y2
[tex]m = \frac{3-0}{0--3}[/tex]
Simplify
[tex]m = \frac{3}{3}[/tex]
Divide
[tex]m = 1[/tex]
The equation of the line is then calculated using the following formula:
[tex]y = m(x - x_1) + y_1[/tex]
Substitute values for m, x1 and y1
[tex]y = 1(x - -3) + 0[/tex]
Simplify
[tex]y = 1(x +3)[/tex]
Open bracket
[tex]y = x +3[/tex]
Hence, the equation of the graph is (d) y = x +3
Read more about linear graphs at:
https://brainly.com/question/20853486
