Question

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

Answer 1

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.