Question 421901
the equation you are starting off with is y - 3x - 3 = 0


add 3x and add 3 to both sides of the equation to get:


y = 3x + 3


this is the slope intercept form of the equation, the standard form being y = mx + b where m is the slope and b is the y intercept.


in your equation, the slope is 3 and the y intercept is 3, looks like.


to find the x intercept, you set y = to 0 and solve for x.


you get 0 = 3x = 3


subtract 3 from both sides of the equation go get 3x = -3
divide both sides of the equation by 3 to get x = -1


that should be your x intercept.


the graph of your equation looks like this:


{{{graph(600,600,-5,5,-5,5,3x+3)}}}


your slope is 3
your y intercept is 3
your x intercept is -1


the graph confirms that.