SOLUTION: Given that the x-intercept of the straight line AB and its gradient is -1/4, Find the y-intercept

Algebra ->  Equations -> SOLUTION: Given that the x-intercept of the straight line AB and its gradient is -1/4, Find the y-intercept      Log On


   

Question 904917: Given that the x-intercept of the straight line AB and its gradient is -1/4, Find the y-intercept
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=mx%2Bb
y=-%281%2F4%29x%2Bb
When y=0, x=-1%2F4
0=-%281%2F4%29%28-%281%2F4%29%29%2Bb
b=-1%2F16
So then,
y=-%281%2F4%29x-1%2F16
So when x=0,
y=-%281%2F4%29%280%29-1%2F16
y=-1%2F16
So,
b=-1%2F16