Question

Value of x or y so that the line through the points has the given slope:

Answer 1

If we want the slope to be -6/7, then the value of x must be -5.

How to find the value of x?

Remember that if a linear equation passes through (x₁, y₁) and (x₂, y₂), then the slope is:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Here we have the points (x, 9) and (9, -3), and the slope must be -6/7, so we need to solve:

$\frac{- 3 - 9}{9 - x} = \frac{-6}{7} \\\\\frac{-12}{9 - x} = \frac{-12}{14}$

Where on the second line we multiplied and divided the right fraction by 2.

Comparing the fractions, we see that we must have:

9 -x = 14

9 - 14 = x

-5 = x

So the value of x must be -5.

If you want to learn more about linear equations:

brainly.com/question/1884491

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