Question

How do you find the slope and intercept of `y=(5-x)/10`?

Answer 1

See a solution process below

Explanation:

Rewrite the equation in slope intercept form. The slope-intercept form of a linear equation is: `y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b)` is the y-intercept value.

`y = (5 - x)/10`

`y = 5/10 - x/10`

`y = 1/2 - 1/10x`

`y = color(red)(-1/10)x + color(blue)(1/2)`

Therefore:

• The Slope Is : `color(red)(m = -1/10)`

• The `y`-intercept Is : `color(blue)(b = 1/2)` or `(0, color(blue)(1/2))`

Answer 2

Slope
`m=-0.1`
Intercept
`c=0.5`

Explanation:

Given:
`y=(5-x)/10`
Simplifying
`y=5/10-x/10`
`y=0.5-0.1x`
Arranging in the form
`y=mx+c`
`y=-0.1x+0.5`
Slope
`m=-0.1`
Intercept
`c=0.5`