Question

Could someone please find the rate and y-intercept for these two points? (2,2) and (3,4) the help would be greatly appreciated!!

Answer 1

First use a formula to find rate of change
so a formula most commonly used is (y^1-y^2)/(x^1-x^2)

m= (y^1-y^2)/(x^1-x^2)
=m=(4-2)/(3-2)
=m=2/1
2/1 can also be expressed as just 2 since anything divided by 1 is just itself

Now use the formula y=mx+b to find the y intercept

use either of your two given point to susitute y and x

y=mx+b
Substitute your values
=(4)=(2)(3)+b
Calculate
=4=6+b
Subtract both sides by 6
=-2=b

Therefore the rate of change is 2/1 and the y-intercept is -2