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What is the equation of the line that passes through the points (-6,-18) and (-1,-8)

2 Answers

4 votes

Answer:

the desired equation is y = 2x - 6

Explanation:

Moving from the point (-6, -18) to the point (-1, -8), we see that x increases by 5 (this is the 'run'). At the same time, y increases by 10 ("rise"). Thus, the slope of the line connecting these two points is m = rise / run = 10/5 = 2

Now use the slope-intercept form of the equation of a straight line: y = mx + b. Using the point (-1, -8), we substitute -1 for x and -8 for y, along with 2 for m. Then:

-8 = 2(-1) + b. We must find b. Adding 2 to both sides yields -6 = b.

Thus, the desired equation is y = 2x - 6.

User Ryler Hockenbury
by
8.4k points
0 votes

Answer:

2x-6 is the equation

Explanation:

User Rolf Rander
by
7.6k points

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