Question

Fins the rate of (-1,4) and (2,-5)

Answer 1

m= 1/3

Explanation:

Use

y = mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept. To calculate the equation of the line, use the

y=mx+b format. The slope equals the change in y over the change in x, or rise over run.

m= ( change in y)

(change in x)

The change in x

The slope is equal to the difference in x-coordinates (also called run), and the change in y is similar to the difference in y-coordinates (also called rise).

m =
`(y^2-y^1)/(x^2-x^1)`

Substitute the x and y into the equation to find the slope.

m=
`(5-(4))/(2-(-1))`

It is finding the slope m.

m =
`(1)/(3)`

Find the value of b

using the formula for the equation of a line.

b =
`(13)/(3)`

Now that the values of m

(slope) and b (y-intercept) are known, substitute them into y =mx+b

to find the equation of the line. y =
`(1)/(3)`x+
`(13)/(3)` 0r 1/3