What is the equation line, in point-slope form, that passes through the points (-3,-1) And (-6,8)

Mathematics

1 answer:

atroni [7]2 years ago

3 0

Answer:

The equation line is y + 3x = -10.

Step-by-step explanation:

In this question, first we have to find the slope of the equation:

The formula which we use to find the slope is:

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

m = (8 + 1) / (-6 + 3)

m = 9 / (-3)

m = -3.

Now, put the value of slope and the first points (-3, -1). You can use any of the given points:

y - y1 = m(x - x1)

y + 1 = -3(x + 3)

y + 1 = -3x - 9

y + 3x = -10

This is the eqution line.

You can check if this line is true or not by putting the other points in this equation which will give the same points like,

y + 3(-6) = -10

y - 18 = -10

y = 8

So, we get the same old points (-6, 8) which we have given.

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