Question

the slope of the line that passes through the points (-6,w) and (-10,4) is 1/8. what is the value of w

Answer 1

Use the point-slope formula for the eqn of a str line:

y-k = m(x-h), where (h,k) is any point on the line.

Suppose we first focus on the given point (-10,4).  Let (h,k) = (-10,4).

Then  y-k = m(x-h) becomes    y-4 = m(x-[-10])

The other point is (-6,w), where w is the unknown we must determine.

w-4 = (1/8)(-6+10).  Find w:
 
Mult both sides by 8 to remove the fraction 1/8:

8w-32 = -6 + 10 = 4.  Then 8w = 32+4 = 36.  w = 36/8 = 4.5, or 9/2 (ans.)

 

Answer 2

The value of 'w' using the given slope is $\frac{9}{2}$

Given :

the slope of the line that passes through the points (-6,w) and (-10,4) is 1/8

apply slope formula

$slope =\frac{y_2-y_1}{x_2-x_1}$

Substitute the values given in the points and make it equal to 1/8

$slope =\frac{4-w}{-10+6}=\frac{1}{8} \\\frac{4-w}{-4}=\frac{1}{8}\\(4-w)(8)=-4(1)\\32-8w=-4\\-8w=-4-32\\-8=-36$

Divide both sides by -8

$w=\frac{-36}{-8} =\frac{9}{2}$

The value of 'w' is $\frac{9}{2}$

Learn more : brainly.com/question/19616909