Mathematics: Aline with a slope of 4 passes through the points (8,7) and (7,p). what is the value of p

The equation of the line in the slope-intercept form is y=−3x+4...

Aline with a slope of 4 passes through the points

Ответ:

aylengarcia090

15.01.2022

Mathematics

p=3

Step-by-step explanation:

There are multiple ways to solve this, but since two points are provided (8,7) and (7,p) and the slope is also given (m=4), we can use the formula for the slope.

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here,

$m=4\quad, (x_1,y_1)=(8,7)\quad,(x_2,y_2)=(7,p)$

$4 = \dfrac{p-7}{7-8}$

Now we'll just solve for 'p'

$4 = \dfrac{p-7}{-1}$

4(-1) = p-7

-4+7 =p

p=3

Hence, the line passes through (8,7) and (7,3)

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Aline with a slope of 4 passes through the points (8,7) and (7,p). what is the value of p

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