What is the rate of change?How do I solve it?

Question

Answer 1

Hi, I invite you to see my answer to the question "How do I solve the rate of change for this equation?

.

if you understand this, then you know how to do all similar problem.

&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&

What is the rate of change?How do I solve it?

Step 1: you need to identify the given equation.

Equation of line, formula is: y=mx+b, where m represent slope.

what slope means? it is rise/runs, another word, (distance change vertically)/(distance change in horizontally). m=(y2-y1)/(x2-x1).

step 2: y=2x+1. you see m=2, this means when x value change by 1, y value will change 2,(which is 2 times of 1) compared to the previous y value.

Ex:

when x=0, y=1

when x=1, y=3

when x=2, y=5

when x=3, y=7

when x=4, y=9

you see pattern? x value increase by 1 and y value increase 2, which is 2 times of 1.

By the way, go back check see if it is true for m=(y2-y1)/(x2-x1).

pick y=9, y=3, and x=4, x=1.

you get m=(9-3)/(4-1)

m=6/3

m=2.

let us see more ex:

when x=2, y=5

when x=5, y=11

when x=8, y=17

when x=11, y=23

see pattern? x value increase by 3 and y value increase by 6, which is 2 times of 3.

Rate of change is slope. answer is 2.

I hope this helps!

Give me sum up if you like it.

I hope this helps!

Answer 2

The given equation has the form

y = mx + b,

where m is the slope. Can you identify m from the given equation?