Question

without graphing, caculate the slope of each line described below . a line that goes through the points (4,1) and (2,5)

Answer 1

Hello!

Step-by-step explanation:

Slope-intercept form: →
`y=mx+b`

m: represents the slope and is constant.

b: represents the y-intercept.

Rise/run

`(rise)/(run)`

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

`x^1,y^1=(4,1)`

`x^2,y^2=(2,5)`

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

So the final answer is
`\boxed{=-2}`

Hope this helps!

Thank you :)

-Charlie

Answer 2

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points (4, 1) and (2, 5). Substitute:

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

Answer: The slope is -2.