SOLUTION: how do i find the x- and y- intercept of the equation y=-(2/3) x-2

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Question 473548: how do i find the x- and y- intercept of the equation y=-(2/3) x-2
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the x intercept is the value of y when x is equal to 0.
the y intercept is the value of x when y is equal to 0.
your equation is:
y = -(2/3)*x - 2
when x = 0, y is equal to -2
when y is equal to 0, the equation becomes:
0 = -(2/3)*x - 2
add 2 to both sides of this equation to get:
2 = -(2/3)*x
multiply both sides of this equation by -(3/2) to get:
-(3/2)*2 = -(2/3)*x*(-(3/2)) which becomes:
-3 = x
when y = 0, x = -3
your y intercept is -2
your x intercept is equal to -3
y is equal to -2 when x is equal to 0.
x is equal to -3 when y is equal to 0.
the graph of your equation is shown below:
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C-%282%2F3%29x-2%29