Question

How do you find the slope and intercept of `8x -y=9`?

Answer 1

Slope of the line = `8`

x-intercept = `-9/8`

y-intercept = `-9`

Explanation:

From linear equation of a line, `y=mx+c` or `y=mx+b`
Slope of a line is m and y-intercept is c (or b).
So first we have to make y the subject in `8x-y=9`
`8x-y=9`
`-y=9-8x`
Multiply by -1 both sides, we get:
`(-1).-y = (-1).9 - (-1)(8x)`
`y=-9 + 8x`
`y = 8x -9` ------> this is now same as `y=mx+c`

Hence slope is `8` and y-intercept is `-9`.

for x-intercept, put `y=0` and we get:
`0 = 8x - 9`
`9 = 8x`
`x = 9/8`
Hence, x-intercept is `9/8`