Question

Given point (-3, -5) and a slope of 2, write an equation in point-slope form.

A. y + 5 = 2(x - 3)
B. y + 5 = 2(x + 3)
C. y - 5 = 2(x - 3)
D. y - 5 = 2(x + 3)

Answer 1

The correct equation in point-slope form given the point (-3, -5) and a slope of 2 is B. y + 5 = 2(x + 3).

Step-by-step explanation:

To write the equation of a line in point-slope form, we use the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Given the point (-3, -5) and a slope of 2, we plug these values into the point-slope formula to get y + 5 = 2(x + 3). The correct answer is therefore B. y + 5 = 2(x + 3), as the sign before the numbers in the parentheses should be opposite to the sign of the coordinates of the point.