Question

BChoose the equation that represents the graph.

Answer 1

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:

$(x_1,y_1) = (-3,0)$

$(x_2,y_2) = (0,3)$

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Substitute values for x1, x2, y1 and y2

$m = \frac{3-0}{0--3}$

Simplify

$m = \frac{3}{3}$

Divide

$m = 1$

The equation of the line is then calculated using the following formula:

$y = m(x - x_1) + y_1$

Substitute values for m, x1 and y1

$y = 1(x - -3) + 0$

Simplify

$y = 1(x +3)$

Open bracket

$y = x +3$

Hence, the equation of the graph is (d) y = x +3

Read more about linear graphs at:

brainly.com/question/20853486