Question

The slope is:
The y-intercept is:
The equation is:
0
(0,-1)
(5.0)

Answer 1

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

Slope:
`(1)/(5)`

Y-intercept: -1

Explanation:

Point 1: (0, -1) or (
`x_(1)`,
`y_(1)`)

Point 2: (5, 0) or (
`x_(2)`,
`y_(2)`)

Slope:

`y_(2)` -
`y_(1)` /
`x_(2)` -
`x_(1)`

0 - (-1) / 5 - 0

`(1)/(5)` = m

Equation:

y -
`y_(1)` = m (x -
`x_(1)`)

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

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

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

Y-intercept:

-1