(4,5) (-5,-1) in slope intercept form

Question

(4,5) (-5,-1) in slope intercept form 

Answer 1

The equation of a line in slope intercept form is  y=mx+b, where m is slope and b is y-intercept.

 

First, we can find the slope of the line using the two coordinate points. 

 

m = (y₂ - y₁) / (x₂ - x₁)

 

m = (-1 - 5) / (-5 - 4)

m = -6 / -9

m = 2/3

 

The equation of the line so far is

 

y = (2/3)x + b. 

 

 

Now, we can use one of the coordinates and plug in the values into the equation to find b.  Let's choose the coordinate (4,5).

 

5 = (2/3)(4) + b

 

5 = (8/3) + b

 

5 - (8/3) = b

 

(15 / 3) - (8/3) = b

 

7 / 3 = b

 

 

The equation of the line is

 

y = (2/3)x + (7/3)