Question

A line passes through point (2,-6) and has a slope of -9. write an equation in ax+by=c form for this line. use integers for a,b, and c.

// lol please help :,) //

Answer 1

9x +y = 12

Explanation:

You want the standard form equation for the line with slope -9 through the point (2, -6).

Point-slope form

The point-slope form equation is a good place to start when given a point and a slope. That equation is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

y -(-6) = -9(x -2) . . . . line with slope -9 through point (2, -6)

Standard form

This can be rearranged to the desired form:

y +6 = -9x +18 . . . . . . eliminate parentheses

9x +y = 12 . . . . . . . . add 9x -6