Question

The pair of points (-4, y) and (5, 7) lie on a line with slope . What is the value of y? You must show all of your work to receive credit

Answer 1

The slope of a line is given by the ratio of the rise to the run of the line.

The value of, y is 4

Reasons:

The given points on the line are; (-4, y), and (5, 7)

The slope of the line, = $\dfrac{1}{3}$

Required:

To find the value of y

Solution:

The formula for the slope is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where;

(x₁, y₁) = (-4, y)

(x₂, y₂) = (5, 7)

Which gives;

$Slope, \, m =\dfrac{7-y}{5-(-4)} = \dfrac{7-y}{5+4} =\dfrac{1}{3}$

3·(7 - y) = 1·(5 + 4) = 9

21 - 3·y = 9

3·y = 21 - 9 = 12

$y = \dfrac{12}{3} = 4$

The value of, y = 4

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