find the slope of each line

Question

 find the slope of each line y=7/2x+2

Answer 1

Hello, thank you for taking the time to post your question!

The general slope-intercept form is y = mx + b

This one is already in that form so m = slope = 7/2

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

line y=7/2x + 2

 

Since this is the 'slope intercept form' of a slope equation (which is

y = mx + b ... 'm' being the slope value), we can immediately see in the equation that the slope = 7/2.

 

Below we will plug in x values from which y values are obtained.

Then, using the slope formula [m = (y1 - y2)/(x1 - x2)], we confirm the slope to be 7/2.

 

let x = 8;   then y = 7/2(8) + 2 = 28 + 2 = 30

let x = 12;  then y = 7/2(12) = 2 = 42 + 2 = 44

 

slope = m....    m = (y1 - y2)/(x1 - x2)   then plug in the x & y values...

m = (30 - 44)/(8 -12) =  -14/-4  =  7/2

thus,  slope of line 'y' = 7/2