i have to take the standard form of the
Equation 11x - 4y = 32 and change it to slope-
Intercept form y = my + b
Answer 4y = 11x - 32
yes
or
y = (11/4) x - 8
To convert the equation from standard form (Ax + By = C) to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
Step 1: Arrange the equation in the form Ax + By = C.
Given equation: 11x - 4y = 32
Step 2: Isolate the variable y by moving other terms to the other side of the equation.
Starting with 11x - 4y = 32, subtract 11x from both sides:
-4y = -11x + 32
Step 3: Divide the entire equation by the coefficient of y to make its coefficient 1.
Divide both sides of the equation by -4:
-4y / -4 = (-11x + 32) / -4
Simplifying:
y = (11/4)x - 8
The equation 11x - 4y = 32, when rearranged, is y = (11/4)x - 8, which is now in slope-intercept form.