Question

Which equation represents a line that goes through the point (-5, 1) with a slope of -4/5?

A) y = -4x + 21
B) y = -5x - 4
C) y = -4x + 1
D) y = 4x - 21

Answer 1

The equation that represents a line going through the point (-5, 1) with a slope of -4/5 is y = -4/5x - 4.

Step-by-step explanation:

To find the equation of a line given a point and the slope, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Plugging in the values (-5, 1) for (x1, y1) and -4/5 for m, we get y - 1 = -4/5(x - (-5)).

Simplifying this equation gives us y - 1 = -4/5(x + 5), which can be rewritten as y = -4/5x - 4. Therefore, the equation that represents a line going through the point (-5, 1) with a slope of -4/5 is y = -4/5x - 4.