Find an equation of the line having the given slope and containing the given point.

Question

m = -2​, ​(7​,9​)

Answer 1

We can use the point-slope form of a linear equation to solve this problem.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)

In this case, the slope (m) is -2 and the given point (x1, y1) is (7, 9).

Substituting the values into the point-slope form, we get:
y - 9 = -2(x - 7)

Expanding, we get:
y - 9 = -2x + 14

Rearranging the terms, we get:
y = -2x + 23

So the equation of the line with a slope of -2 and passing through the point (7, 9) is y = -2x + 23.