Question

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

x-intercept =-2
Y-intercept=6

Answer 1

`y=3x+6`

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}`