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

Question

contestada

Respuesta :

joshlind3 joshlind3 · Answer 1 · 2020-11-08T02:05:53+01:00

Answer:

Step-by-step explanation:

Slope can be calculated by:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

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

[tex]\frac{f-7}{-8-(-9)} = 3\\\frac{f-7}{1} = 3\\f-7 = 3\\f = 10\\[/tex]

Answer Link

TheBlueFox TheBlueFox · Answer 2 · 2020-11-08T02:12:29+01:00

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.