Question

Write an equation in slope for a line that passes through (3,4) (and has a y intercept of -8)

Answer 1

Part 1) The equation in slope intercept form is
`y=4x-8`

Explanation:

Part 1) Write an equation in slope-intercept form for a line that passes through (3,4) (and has a y intercept of -8)

we know that

The equation of a line in slope intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-intercept

we have

`b=-8`

`point\ (3,4)`

substitute

`4=m(3)-8`

solve for m

`4+8=3m`

`3m=12`

`m=4`

therefore

`y=4x-8`