Question

Find the slope of the line that passes through the points, A(0,2) and B(4, -1).

Answer 1

Slope=M=y2-y1/X2-X1=

-1 -2 /4-0=

-3/4 =

-0.75

Explanation:

Hope this helped!!!!

Answer 2

y=(-3/4)+2

Explanation:

Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula

Firstly, lets solve for the slope by finding the change in y over the change in x:

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

We will plug in the values of the points given and find that:

slope (m)=
`(-1-2)/(4-0)`

this equals (-3/4)

from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).

Point-slope equation:

`y-y1=m(x-x1)`

Plugging in values:

`y-2=((-3)/(4))(x-0)`

after isolating y we find that the equation is:

`y=(-3)/(4) x+2`

Hope this helps!

-HM