Put the following equation of a line into slope-intercept form, simplifying all fractions.
5, x, minus, 4, y, equals, minus, 12
5x−4y=
−12
The equation 5x - 4y = -12 can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept.
To simplify the equation, we need to isolate y on one side of the equation.
Starting with 5x - 4y = -12, we can move the 5x term to the right side of the equation by subtracting 5x from both sides:
-4y = -5x - 12
To simplify the equation further, we divide both sides by -4 to isolate y:
y = (-5x - 12) / -4
This simplifies to:
y = 5/4x + 3