Question

Which is correct equation , in slope intercept form , for the line described below?

Answer 1

Answer:

$y=3x+6$

Step-by-step explanation:

Equation of the line

The equation of the line in slope-intercept form is:

$y=mx+b$

Being m the slope and b the y-intercept.

We are given two points for the required line: The x-intercept is -2, thus the point is (-2,0), and the y-intercept b=6 represents the point (0,6).

Since the value of b is 6, we use the first point to find the slope:

$0=m(-2)+6$

Solving:

m=3

The correct equation of the line is:

$\boxed{y=3x+6}$