Question

Find the y-intercept of the line 18x–y=5.

Answer 1

`\text{Write in y=mx+c form, where m is the slope and c is the y-intercept}\\\\~~~~18x-y = 5\\\\\implies y = 18x -5\\\\\text{y-intercept}~ = -5`

Answer 2

y-intercept = -5

Explanation:

Slope-intercept form of a linear equation:
`y = mx + b`

(where
`m` is the slope and
`b` is the y-intercept)

In order to find the y-intercept of the given line, rearrange so that it is in slope-intercept form:

Given equation:

`18x-y=5`

Add y to both sides:

`\implies 18x-y+y=5+y`

`\implies 18x=5+y`

Subtract 5 from both sides:

`\implies 18x-5=5+y-5`

`\implies 18x-5=y`

In slope-intercept form:

`\implies y=18x-5`

Therefore,

• slope (m) = 18
• y-intercept (b) = -5