Question

What is the slope of the line through (-9, 6) and (-3, 9)? Choose 1 answer:

Answer 1

Answer:

a) ½

Step-by-step explanation:

The slope of a line can be found using the following formula:

$\sf m=\dfrac{y_2-y_1}{x_2-x_1}$

We are given the points (-9, 6) and (-3, 9):

where:

y₂ = 9, y₁ = 6

x₂ = -3, x₁ = -9

Substitute the given values into the formula:

$\sf m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{9-6}{-3-(-9)}\ \textsf{[simplify]}\\\\m=\dfrac{9-6}{-3+9}\ \textsf{[simplify]}\\\\m=\dfrac{3}{6}\ \textsf{[reduce]}\\\\m=\dfrac{3\div3}{6\div3}\\\\m=\dfrac{1}{2}$

Therefore, the slope of the line through the points (-9, 6) and (-3, 9) is ½

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Answer 2

Given: Points (-9, 6) and (-3, 9)

Find:  The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula.  This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

Plug in the values

• $m = \frac{y_2 - y_1}{x_2 - x_1}$

• $m = \frac{9 - 6}{-3 - (-9)}$

Simplify the expression

• $m = \frac{3}{-3 + 9}$

• $m = \frac{3}{6}$

• $m = \frac{1}{2}$

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.