write (–5, 4) and (–8, 1) in slope intercept form

Question

 write (–5, 4) and (–8, 1) in slope intercept form

Answer 1

The slope intercept form is y = mx + b ...where m is the slope and b in the y-intercept

First, let's find the slope.

m = change in y/change in x:

so,  (4-1)/-5+8) = 3/3 = 1

so m = 1.

Now y= x + b. To find the y-intecept, simply substitute one of the given points into the equation.

Let's try (-5,4):

4 = -5 + b

9 = b.  

Now our equation is:   y = x +9

Let's check and make sure it works for the other given point ((-8,1)

1 = -8 +9   9 =9

 

Yes, our equation is correct.

 

y = x + 9   is our answer.