Question

What is the slope line that passes through the points (10, 8) and (-15, 18)? Write your answer in simplest form

Answer 1

Answer:
`y=-(2)/(5)x+12`

y = mx + b

m = slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))=(18-8)/(-15-10)=(10)/(-25)=(2(5))/(-5(5))=-(2)/(5)`

The y-intercept(b) can be found by substituting a point into the function.

`y = -(2)/(5)x + b \\\\8=-(2)/(5)(10) + b\\\\8=-4+b\\\\b=8+4=12`

Therefore, the function is:

`y=-(2)/(5)x+12`