Question

What is the equation for the graph shown?

Answer 1

Answer:

$y = \frac{2}{3}x + 4$

Step-by-step explanation:

The formula for finding equation of straight line is given as :

$y = mx + c$

where :

m = slope

c = y - intercept = 4

To calculate the slope , we will use :

slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$x_{1} = -6$

$x_{2} = 0$

$y_{1}= 0$

$y_{2}=4$

substituting into the formula , we have :

slope = $\frac{4-0}{0-(-6)}$

$m = \frac{4}{6}$

$m = \frac{2}{3}$

substituting into the formula for finding equation of line , we have

$y = \frac{2}{3}x + 4$