Question

Given the equation y = 2x - 5 and the domain {-1, 4} find the slope

I need help with this and if you do help can you show the work please

Answer 1

The slope is m=2

Explanation:

we have

`y=2x-5`

This is the equation of a line in slope intercept form

`y=mx+b`

where

m is the slope

b is the y-coordinate of the y-intercept

therefore

The slope m is equal to

`m=2`

Alternative Method

we know that

The formula to calculate the slope between two points is equal to

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

we have

`y=2x-5` and the domain {-1, 4}

For x=-1

`y=2(-1)-5=-7`

point (-1,-7)

For x=4

`y=2(4)-5=3`

point (4,3)

substitute the values in the formula of the slope

`m=(3+7)/(4+1)`

`m=(10)/(5)`

`m=2`