Question

(10, 15) and (8,3). Write the equation of the line in slope-intercept
(y = mx + b) form.

Answer 1

`y=6x+-45`

Explanation:

Given the following question:

Point A = (10, 15) = (x1, y1)
Point B = (8, 3) = (x2, y2)

To find the answer we first must find the slope which we will find by using the formula for slope or rise over run. Then we use the formula for slope intercept, substitute the values, and then solve for b.


`m=(y2-y1)/(x2-x1)`

`m=(3-15)/(8-10)`

`3-15=-12`

`8-10=-2`

`=(-12)/(-2) =-12/-2=6`

`m=6`

Now we have the slope find the slope intercept:

`y=mx+b`

`y=15`

`m=6`

`x=10`

`15=6(10)+b`

`6*10=60`

`15=60+b`

`60-60=0`

`15-60=-45`

`-45=b`

`b=-45`

`y=6x+-45`

Your answer is "y = 6x + -45."

Hope this helps.