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4 years ago

The points (8,0) and (-8,c) fall on a line with a slope of 1/8. What is the value of c? c=

Mathematics

1 answer:

Anna007 [38]4 years ago

5 0

Answer:

c = - 2

Step-by-step explanation:

calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (8, 0) and (x₂, y₂ ) = (- 8, c)

m = $\frac{c-0}{-8-8}$ = $\frac{c}{-16}$ = $\frac{1}{8}$

cross- multiplying gives

8c = - 16 ( divide both sides by 2 )

c = - 2

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