SOLUTION: what is thexand y intercept of y=1/2x-3?

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Question 261740: what is thexand y intercept of y=1/2x-3?
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
equation is y = (1/2)*x - 3

this is in slope intercept form of y = m*x + b where m is the slope and b is the y-intercept.

m = (1/2) = the slope.
b = -3 = the y-intercept.

the y-intercept is the value of y when x = 0.

make x = 0 and the equation of y = (1/2)*x - 3 becomes y = -3.

the x-intercept is the value of x when y = 0.

make y = 0 and your equation becomes 0 = (1/2)*x - 3

add 3 to both sides of this equation to get 3 = (1/2)*x

divide both sides of this equation by (1/2) to get 6 = x

your x-intercept is 6.

a graph of your equation looks like this:

you can see that when x = 0, y = -3, and when y = 0, x = 6.