Question

The line with m = 4 and the point (0, -9).

A) 4x - y = -9
B) 4x + y = -9
C) x - 4y = -9
D) -x + 4y = -9

Answer 1

The equation of the line with slope 4 passing through the point (0, -9) is 4x - y = -9.

Step-by-step explanation:

The equation of a line with slope (m) equal to 4 and passing through the point (0, -9) can be found using the point-slope equation.

The point-slope equation is given by:

y - y1 = m(x - x1)

Substituting the values of m, x1, and y1 into the equation, we have:

y - (-9) = 4(x - 0)

Simplifying, we get:

y + 9 = 4x

Lastly, rearranging the equation to match the given options, we have:

4x - y = -9

Therefore, the correct option is A) 4x - y = -9.