Question

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

Answer 1

Answer:

The slope  is m=2

Step-by-step 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

$m=\frac{y2-y1}{x2-x1}$

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

$m=\frac{3+7}{4+1}$

$m=\frac{10}{5}$

$m=2$