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2 years ago

Need help! Will provide brainliest!

Mathematics

1 answer:

Mkey [24]2 years ago

8 0

Answer:

I think the answer is (origin)

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Sholpan [36]

Answer:

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

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

Step-by-step explanation:

Given the points

(-8, 5)

(-1, -5)

Finding the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{-5-5}{-1-\left(-8\right)}$

$m=-\frac{10}{7}$

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

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

$\frac{80}{7}+b=5$

$b=-\frac{45}{7}$

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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2 years ago