ANSWER:
[tex]y=x+3[/tex]
STEP-BY-STEP EXPLANATION:
The graph shows a linear relationship, therefore, it will have the following form of the equation:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We calculate the slope as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given:
(0, 3) and (4, 7)
Replacing:
[tex]m=\frac{7-3}{4-0}=\frac{4}{4}=1[/tex]
The y-intercept is the point (0, 3) which means that b is equal to 3.
The equation would then be:
[tex]y=x+3[/tex]
