Question

Write the linear function for the given function values. f(-2)=9 and f(6)=7

Answer 1

Answer:

$y = -\frac14x + 8.5$

Step-by-step explanation:

Hello!

A linear function is written in the form of $y = mx + b$, where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

Slope

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

• $\frac{9 - 6}{-2 - 6}$
• $\frac{2}{-8}$
• $-\frac14$

The slope is -1/4.

Y-intercept

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

• $y = mx + b$
• $9 = -\frac14(-2) + b$
• $9 = 0.5 + b$
• $8.5 = b$

Equation

We can find the equation by simply plugging in all the values that we found.

Equation: $y = -\frac14x + 8.5$