Question

What is the equation of the line that passes through the point (-2,-8) and has a slope of 1?

Answer 1

y = x -6

Explanation:

You can start with the slope-intercept form of the equation for a line:

y = mx +b . . . . . . line with slope m and y-intercept b

and rearrange it to help you find the y-intercept:

b = y - mx

For the given point and slope, the y-intercept is ...

b = -8 -(1)(-2) = -8 +2 = -6

Then the equation for a line with slope m=1 and y-intercept b=-6 is ...

y = x -6