Question

Given the different lines and conditions, which one represents a line that is parallel to the line passing through (-4,10) and (8,-4)?

A) Line passing through (1,3) and (7,-1)
B) Line with an equation y = -2x - 6
C) Line passing through (4,0) and (-5,3)
D) Line with an equation y = 2x - 4

Answer 1

To determine which line is parallel to the given line passing through two points, find the slope of the given line and compare it to the slopes of the other lines. Hence the correct answer is option C

Step-by-step explanation:

To determine which line is parallel to the line passing through (-4,10) and (8,-4), we need to find the slope of the given line. The slope of a line can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

For the given line, the coordinates (-4,10) and (8,-4) can be plugged into the formula to find the slope. Once we have the slope, we can compare it to the slopes of the other lines to determine which one is parallel.

The correct answer is C) Line passing through (4,0) and (-5,3) because it has the same slope as the given line, which is -1/3.