Question

Choose the equation below that represents the line that passes through the point (-2, -1) and has a slope of 5.

A. y - 1 = 5(x - 2)
B. y + 1 = 5(x + 2)
C. y + 2 = 5(x + 1)
D. y - 2 = 5(x - 1)

Answer 1

The correct equation for the line that passes through the point (-2, -1) with a slope of 5 is y + 1 = 5(x + 2), which is option B.

Step-by-step explanation:

The student is asking for the equation of a line that passes through the point (-2, -1) and has a slope of 5. To find this, we use the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the given point and slope, we get:

y - (-1) = 5(x - (-2))

This simplifies to:

y + 1 = 5(x + 2)

Therefore, the correct equation is option B: y + 1 = 5(x + 2).