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PLZ ANSWER! REALLY NEED HELP AND WILL MARK BRAINLIEST!!! PLZZZZZ!!!
The slope of the line that passes through the points
(−6, w) and (−10, 4) is
1/8 What is the value of
w?
A. 36
B. 34
C.9/2
D.1/2

Respuesta :

evgeniylevi

Answer:

C.

Step-by-step explanation:

1) the slope-interception form of the given line is:

y=s*x+i, where s - the slope, i - interception;

according to the condition it is

y=1/8*x+i;

2) if to substitute the coordinates of the given point (-10;4) into the slope-interception form, then:

4=1/8* (-10)+i, ⇒ i=21/4;

the equation of the given line is:

y=1/8*x+21/4

3) according to the condition the given point with the coordinates (-6;w) belongs to the line. It means, it is possible to substitute its coordinates into the equation, then calculate the value of the 'w':

w=1/8*(-6)+21/4; ⇒ w=9/2.

Answer C. 9/2

Note: the suggested option is not the only.

mhanifa

Answer:

  • C. 9/2

Step-by-step explanation:

Given points:

  • (-6, w) and (-10, 4)

The slope is:

  • m = 1/8
  • Value of w = ?

Use slope formula and solve for w:

  • m = (y2 - y1)/(x2 - x1)
  • 1/8 = (4 - w)/(-10 - (-6))
  • 1/8 = (4 - w)/(-4)
  • 4 - w = -4/8
  • w = 4 + 1/2
  • w = 9/2

Correct choice is C

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