Question

Write equation from slope and 1 point. i need help on both questions please.

Answer 1

10.) y =
`(-1)/(4)`x +
`(17)/(4)` 11.) y = 3x + 7

Explanation:

10.) when given, slope, and a point you can use the equation y=mx+b to solve for "b" as your unknown. so, you substitute everything that you do know y = 4. x = 1. m = -1/4.

y=mx+b becomes 4 =
`(-1)/(4)`(1) + b

4 = -1/4 +b

add the 1/4th to both sides to isolate b.

you end up with an answer of, 4
`(1)/(4)` which equals
`(17)/(4)`

so you end up with b =
`(17)/(4)`

-------------------------------------------------------------------------------

11.) Do the same thing with the other problem.

you know m = 3. x = -1 and y = -4

substitute what you know now.

y = mx+b becomes -4 = 3(-1) + b

add -3 to both sides to isolate b

then you end up with an answer of

b = 7