Question

"Which is the point-slope form of an equation for the line that passes through

(0, -5) with slope 2?
A.) y = 2x - 5
B.) y + 5 = 2x
C.) y - 5 = x - 2
D.) y = 2(x + 5)"

Answer 1

The point-slope form of the equation for the line passing through (0, -5) with slope 2 is y + 5 = 2x.

Step-by-step explanation:

The point-slope form of an equation for a line is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

In this case, the slope is 2 and the point given is (0, -5). Plugging in these values, we have y - (-5) = 2(x - 0). Simplifying this equation gives us the answer: y + 5 = 2x. Therefore, option B) y + 5 = 2x is the correct point-slope form of an equation for the line.