7 = -3x - 4 in slope intercept form

To write the equation 7 = -3x - 4 in slope-intercept form (y = mx + b), we need to isolate the y variable on one side of the equation.

First, we can move the constant term to the other side by adding 4 to both sides of the equation:

7 + 4 = -3x - 4 + 4
11 = -3x

Next, we divide by -3 to solve for x:

11/-3 = -3x/-3
x = -11/3

Now that we have found the value of x, we can substitute it back into the original equation to find the y-intercept:

7 = -3(-11/3) - 4
7 = 11 + 4
7 = 15

Therefore, the equation 7 = -3x - 4 in slope-intercept form is y = -3x + 15.