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Find the slope of the line that passes through (57, -27) and (-19, -34)

2 Answers

3 votes

Answer:

y=7/76x-129/4

Explanation:

I'm going to assume you want this in slope intercept form.

The equation of a line is equal to y = mx+b

Where m is the slope and b is the y-intercept.

The slope of a line is a measure of how steep the line is.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

y2-y1/x2-x1

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (57,-27), point #1, so the x and y numbers given will be called x1 and y1, and the second point will be x2 and y2.

So we just plug in the numbers, and find the slope to be 7/76.

What about b(the y-intercept), I can already hear you typing. Well, to do that, you plug in the coordinates of the points given and solve for b.

And there you have it:

y=7/76x-129/4 is the equation of the line.

User Jovi
by
8.6k points
4 votes

Answer:

10.86

Explanation:

m = Y2 - Y1 / X2 - X1 = -19 -57 / -34 +27 = -76 / -7 = 10.86

User Alfred Rossi
by
8.2k points

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