58.0k views
3 votes
Find the equation (in terms of x) of the line through the points (-5,-1) and (3,0).

y =
A) -1/8x + 1
B) 1/8x - 1
C) -1/8x - 1
D) 1/8x + 1

1 Answer

6 votes

Final answer:

To find the equation of the line through the points (-5,-1) and (3,0), we can use the slope-intercept form of a linear equation.

Step-by-step explanation:

To find the equation of the line through the points (-5,-1) and (3,0), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope of the line using the formula: m = (y2 - y1) / (x2 - x1). substituting the values, we get m = (0 - (-1)) / (3 - (-5)) = 1/8.

Next, we need to find the y-intercept. We can use the formula y = mx + b and substitute the slope and one of the points (e.g., (-5,-1)) into the equation. -1 = (1/8)(-5) + b. Solving for b, we find b = -1/8.

Therefore, the equation of the line in terms of x is y = (1/8)x - 1/8, which corresponds to option C.

User LucaA
by
8.5k points

No related questions found

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