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?

Answer 1

FORMULA:

• Slope = y2 - y1/x2 - x1

ANSWER:

We will use the slope formula, and plug the respective value as slope of points are given.

1/12 = 11 - m/12 + 24

1/12 = 11 - m/36

1 = 11 - m/3

11 - m = 3

m = 11 + 3

m = 14.

Hence, the value of m for given slope is 14.

Answer 2

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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