109k views
3 votes
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

User Karunski
by
8.1k points

1 Answer

3 votes

Final answer:

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.

User Andrey Shabalin
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories