how do i find slope and y-intercept.....my problem is 5x + 2y = -8 .....how do i slove?

Question

i'm a 8th grader in algebra 1

Answer 1

Hi Juley,

 

The equation is in a form called the standard form Ax + By =C

 

We want to change it into the slope intercept form and then we can easily find the slope and the intercept.

 

The slope intercept from is y = mx + b  (where m is the slope and b is the y intercept

 

so

 

5x + 2y = -8   is the original  (lets get y alone on one side, we can do that by subtracting 5x from both sides of the equation

 

5x -5x + 2y = -5x - 8

 

or

 

2y = -5x - 8    (now we will divide both sides of the equation by 2

 

y = (-5/2)x - 4  

 

 

so our slope is -5/2

 

and the y intercept is -4

 

Hope this helps

Answer 2

If y = mx + b, then the slope is m and the y-intercept is b.

 

To find the slope and y-intercept of the given line, put the equation in the form y = mx + b.  This is called the slope-intercept form of the equation of the line.  

 

5x + 2y = -8

        2y = -5x - 8

          y = (-5/2)x - 4) 

 

m = -5/2 = slope

b = -4 = y-intercept