Question

A line with a slope of 3 passes through the points (-8,f) and (-9,7). What is the value of f

Answer 1

Explanation:

Slope can be calculated by:

`m = (y_2-y_1)/(x_2-x_1)`

We know M, y1, x2, and x1. We want to calculate for y2

`(f-7)/(-8-(-9)) = 3\\(f-7)/(1) = 3\\f-7 = 3\\f = 10\\`

Answer 2

Answer: f = 10

Step-by-step explanation: Start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

Plugging the given information into the

slope formula, we get 3 = 7 - f / -9 - (-8).

This simplifies to 3 = 7 - f / -1.

Multiply both sides of the equation by -1 to get -3 = 7 - f.

Solving from here, you be should be able to easily find that 10 = f.

Remember, it's very easy to check your

answer to these kinds of problems.

Since 10 = f, you can plug a 10 back in for f in the original problem.

Then check to see if the line that passes through the points

(-8, 10) and (-9, 7) really does have a slope of 3.