Question

Given m = -2 and the point (6,7), what is the-slope form of the equation?

Answer 1

The equation of line with point (6,7) and slope -2 is 2x + y = 19.

Explanation:

The given point in the line equation is (6,7)

The slope of the kine equation is m = -2

Now, THE SLOPE FORM of a line equation with point (x0,y0) is given as

(y - y0) = m ( x - x0)

So, applying the form here, we get

y - 7 = (-2) (x - 6)

or, y - 7 = - 2x + 12

or, y = -2x + 12 + 7

⇒ 2x + y = 19

Hence the equation of line with point (6,7) and slope -2 is 2x + y = 19.

The slope form is y - 7 = (-2) (x - 6)