Question

What is the equation of the line that passes through the points (-1, -1) and (-3,-1)?

A) y = -1
B) y = x - 1
C) y = -x - 1
D) y = 1 - x

Answer 1

The equation of the line that passes through the points (-1, -1) and (-3,-1) is y = -1.

Step-by-step explanation:

To find the equation of a line that passes through two given points, we can use the slope-intercept form of a linear equation, which is y = mx + b.

First, we need to find the slope of the line. We can use the formula m = (y2 - y1)/(x2 - x1) to calculate it. Let's substitute the coordinates of the given points into the formula:

m = (-1 - (-1))/(-3 - (-1)) = 0/(-2) = 0

Since the slope is 0, the equation of the line will have the form y = b. To find the value of b, we can substitute the coordinates of one of the points into the equation:

-1 = b

Therefore, the equation of the line that passes through the points (-1, -1) and (-3,-1) is y = -1, which is option A.