Question

Write the equations for both plsss

Answer 1

Question 3

y =
`(-1)/(5)`x

Questions 4

y =
`(-1)/(4)`x + 4
`(1)/(4)`

Explanation:

Questions 3

From the given information:

m = -1/5

x = -5

y = 1

Use this to solve for b (y intercept)

y = mx + b

1 = -5(
`(-1)/(5)`)+ b

1 = 1 + b Subtract 1 from both sides

0 = b

y =mx + b

y =
`(-1)/(5)`x + 0

y =
`(-1)/(5)` x

Question 4

Perpendicular slope are opposite reciprocals.

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

x = 1

y = 4

y = mx + b

Us this information to solve for b

4 =
`(-1)/(4)`(1) + b

4 =
`(-1)/(4)` + b Add
`(1)/(4)` to both sides

4
`(1)/(4)` = b

y =
`(-1)/(4)`x + 4
`(1)/(4)`

or

y =
`(-1)/(4)`x +
`(17)/(4)`