Answer:
y-intercept = -5
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y = mx + b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] 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:
[tex]18x-y=5[/tex]
Add y to both sides:
[tex]\implies 18x-y+y=5+y[/tex]
[tex]\implies 18x=5+y[/tex]
Subtract 5 from both sides:
[tex]\implies 18x-5=5+y-5[/tex]
[tex]\implies 18x-5=y[/tex]
In slope-intercept form:
[tex]\implies y=18x-5[/tex]
Therefore,
- slope (m) = 18
- y-intercept (b) = -5
