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lina2011 [118]
3 years ago
5

Find the slope of the line using (4,-4) (8,-1) (0,-7) (-4,-10)

Mathematics
2 answers:
WARRIOR [948]3 years ago
8 0
The slope to (4,-4)(8,-1)(0,-7)(-4,-10) is 3/4
Irina18 [472]3 years ago
6 0
While the question gives us the coordinates for 4 points, we only need 2. You can choose any pair of points and the process I will demonstrate will still be applicable and you will get the same results. I will just pick the first two points.

Points: (4,-4) and (8,-1)
As you may already have known, the first number in the parentheses is the x value and the second number is the y value. In order to solve for the slope of the line created by the two points, we must find the difference between the y values of the two points and divide by the difference between the x values of the two points. This can more commonly be called delta y over delta x.

(y of point 1 - y of point 2)/(x of point 1 - x of point 2)
= (-4 + 1)/(4 - 8)
= (-3)/(-4)
=3/4

Slope = 3/4
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Answer:

The equation of the line in slope-intercept form is:

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Step-by-step explanation:

Given the points

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Finding the slope

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\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)

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We know the slope-intercept form of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

5\:=\:\frac{-10}{7}\left(-8\right)+b

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b=-\frac{45}{7}

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

y = mx+b

y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)

y\:=\:\frac{-10}{7}x-\frac{45}{7}

Thus, the equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}
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