Question

What is the answer to x 3,6,9,12 y -6,-12,-18,-24 y=mx+b

Answer 1

Answer:

The equation of the line or linear function is:

y = -2x

Step-by-step explanation:

Given the table

x        3       6       9        12

y      -6    -12      -18      -24

As there is a constant change in x and y values, so the table represents the linear function.

The slope-intercept form of the linear equation

y = mx+b

where

• m is the slope

• b is the y-intercept

Taking any two points, let say

• (3, -6)

• (6, -12)

Determining the slope between (3, -6) and (6, -12)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-12-\left(-6\right)}{6-3}$

Refine

$m=-2$

Thus, the slope m = -2

now substituting m = -2 and (3, -6) in the slope-intercept form

y = mx+b

-6 = -2(3) +b

-6 = -6 + b

b = -6 + 6

b = 0

Thus, the y-intercept b = 0

now substituting m = -2 and b = 0  in the slope-intercept form of linear function

y = mx+b

y = -2x + 0

y = -2x

Therefore, the equation of line or linear function is:

y = -2x