Find the slope and the -intercept of the line.
5x-4y=12
Write your answers in simplest form.
To find the slope and y-intercept, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Given equation:
5x - 4y = 12
First, let's isolate y by subtracting 5x from both sides:
-4y = -5x + 12
Next, divide all terms by -4 to solve for y:
y = (5/4)x - 3
Now, we can see that the slope, m, is 5/4 and the y-intercept, b, is -3.
So, the slope is 5/4 and the y-intercept is -3.