Respuesta :

Answer:

y = 2x + 4

Step-by-step explanation:

The question is asking for the equation of the line in slope-intercept form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

The y-intercept is where the graph of the line crosses the y=axis, which in this case is at y=4 -- which means that b=4.

We can see that (-2, 0) and (0, 4) are two points on the line. The equation for the slope is [tex](y_2-y_1)/(x_2-x_1)[/tex], which is (4-0)/(0-(-2)). This is equal to 2. (note: you can think of the slope as rise/run)

Therefore, the equation for the line is y = 2x + 4.