Question 261740
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:


{{{graph(600,600,-10,10,-10,10,(1/2)*x-3)}}}


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