Question

The slope of the line that passes through the points (-24, m) and (12,11) is 1/12. What is the value of m?

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Answer 1

Answer:

Find the Slope = y2 - y1 / x2 - x1

 = 6 - 2 / 12 - -4

 = 4/16  

= 1/4  This is the slope, m.

2) Now, plug m and one point into: y - y1 = m (x - x1)

  y - 6 = 1/4 (x - 12)  Distribute the 1/4

 y - 6 = 1/4 * x - 3  Solve for y

y = 1/4*x - 3 + 6

y = 1/4*x + 3

Step-by-step explanation:

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Answer 2

The value of m for a line that passes through  (-24, m) and (12,11) and have a slope of 1 / 12 is  8.

What ia a slope?

The slope of a line is a measure of its steepness. The slope is rise divided by the run.

Therefore,

(-24, m)(12, 11)

slope = m = 1 / 12

slope = y₂ - y₁ / x₂ - x₁

Therefore,

x₁ = -24

x₂ = 12

y₁ = m

y₂ = 11

1 / 12 = 11 - m / 12 + 24

1 / 12 = 11 - m / 36

cross multiply

36 = 12(11 - m)

36 = 132 - 12m

36 - 132 = -12m

-96 = -12m

m = 96 / 12

m = 8

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