Question

What is the first step to writing an equation in slope-intercept form using the given points: (-3, 1), (-4, -2)? What is the rate of change

A) Find the slope using the slope formula y = mx + b; m = -3
B) Find the slope using the slope formula
y2 - y1
x2 - x1
; m = 3
C) Find the slope using the slope formula
y2 - y1
x2 - x1
; m = -3
D) Find the slope using the slope formula y = mx + b; m = 3

Answer 1

Option B.

The first step is find the slope using the formula
`m=(y2-y1)/(x2-x1)`

The rate of change is m=3

Explanation:

we know that

The equation of a line in slope intercept form is equal to

`y=mx+b`

where

m is the slope

is the y-intercept

so

The firs step is determine the slope of the linear equation

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

(-3,1) and (-4,-2)

substitute the given values in the formula

`m=(-2-1)/(-4+3)`

`m=(-3)/(-1)`

`m=3`

Remember that

In a linear equation the rate of change is a constant and is equal to the slope of the line

so

The rate of change is 3