SOLUTION: what is the x-intercept, slope, and y-intercept for this problem y=1/4x-4

Algebra ->  Linear-equations -> SOLUTION: what is the x-intercept, slope, and y-intercept for this problem y=1/4x-4      Log On


   



Question 378517: what is the x-intercept, slope, and y-intercept for this problem
y=1/4x-4

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
what is the x-intercept, slope, and y-intercept for this problem
y = 1%2F4x - 4
:
The x intercept occurs when y = 0, replace y with 0 and solve for x
1%2F4x - 4 = 0
add 4 to both sides
1%2F4x = 4
Multiply both sides by 4, get rid of the fraction and you have
x = 4(4)
x = 16 is the x intercept
:
The equation is in the slope/intercept form y = mx + b
therefore the slope (m) = 1%2F4
:
The y intercept occurs with x = 0, replace x with 0, find y
y = 1%2F4(0) - 4
y = 0 - 4
y = -4 is the y intercept
;
:
Graphically
+graph%28+300%2C+200%2C+-10%2C+20%2C+-10%2C+10%2C+.25x-4%29+
You can see the line intercepts the y axis at -4
Line intercepts the x axis at +16
You can see the slope, it rises 4 units, while it runs horizontally 16 units
written 4/16 which reduces to 1/4, right?