Question 1024660
you solve for the y-intercept by setting the value of x to 0.


your equation is -6x - 6y = -6.


when x = 0, this equation becomes -6y = -6.


solve for y to get y = 1.


that's your y-intercept.


to graph this equaiton, solve for y as shown below:


start with -6x - 6y = -6


add 6x to both sides to get -6y = 6x - 6


divide both sides by -6 to get y = -x + 1.


the graph of the equation is shown below:


{{{graph(600,600,-10,10,-5,5,-x+1)}}}


from the graph, you can also see that the x-intercept is also equal to 1.


to solve for the x-intercept set the value of y equal to 0.


when  y = 0, the original equation becomes -6x = -6


solve for x to get x = 1.


in this equation, you have a y-intercept of y = 1 and an x-intercept of x = 1.


the coordinates of the y-intercept are (0,1).


the coordinates of the x-intercept are (1,0).