Answer:
[tex] y = mx +b[/tex]
With m the slope and b the intercept
For this case the intercept can be identified as b =3 since is the intersection value at the y axis (x=0).
The slope can be founded using any two points. For instance we can select (0,3) and (-2,0) and we have the following formula:
[tex] m=\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m =\frac{0-3}{-2-0}= \frac{3}{2}[/tex]
And then our equation would be given by:
[tex] y = \frac{3}{2}x +3[/tex]
Step-by-step explanation:
We need to find a equation in the form:
[tex] y = mx +b[/tex]
With m the slope and b the intercept
For this case the intercept can be identified as b =3 since is the intersection value at the y axis (x=0).
The slope can be founded using any two points. For instance we can select (0,3) and (-2,0) and we have the following formula:
[tex] m=\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m =\frac{0-3}{-2-0}= \frac{3}{2}[/tex]
And then our equation would be given by:
[tex] y = \frac{3}{2}x +3[/tex]