Find the x-intercept and the y-intercept for the graph of each equation.y = x + 4y = 72x + 3y = 6

Sure, let's find the x-intercept and y-intercept for each equation.

1. For the equation y = x + 4:

   • The x-intercept is the value of x when y = 0. So, set y = 0 and solve for x: 0 = x + 4 x = -4
   • The y-intercept is the value of y when x = 0. So, set x = 0 and solve for y: y = 0 + 4 y = 4

2. For the equation y = 72:

   • This equation is a horizontal line where y is always 72, so it doesn't have an x-intercept.
   • The y-intercept is 72.

3. For the equation 2x + 3y = 6:

   • The x-intercept is the value of x when y = 0. So, set y = 0 and solve for x: 2x + 3(0) = 6 2x = 6 x = 3
   • The y-intercept is the value of y when x = 0. So, set x = 0 and solve for y: 2(0) + 3y = 6 3y = 6 y = 2

So, the x-intercept and y-intercept for the first equation are -4 and 4, respectively. The second equation has no x-intercept and a y-intercept of 72. The third equation has an x-intercept of 3 and a y-intercept of 2.