Respuesta :

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]