Identify the slope and y intercept of the equation 4x-3y=12
To find the slope and y-intercept of the equation 4x - 3y = 12, we first need to put the equation into slope-intercept form, which is y = mx + b.
To do this, we will isolate y by subtracting 4x from both sides of the equation:
-3y = -4x + 12
Next, we divide both sides of the equation by -3 to solve for y:
y = (-4x + 12) / -3
Simplifying further:
y = -4/3 * x + 4
Comparing this with the slope-intercept form, we can see that the slope is -4/3 and the y-intercept is 4.
To identify the slope and y-intercept of the equation 4x - 3y = 12, we need to rewrite the equation in slope-intercept form, which is in the form y = mx + b.
Starting with the given equation:
4x - 3y = 12
Let's isolate the y term:
-3y = -4x + 12
Divide both sides of the equation by -3 to solve for y:
y = (4/3)x - 4
From this equation, we can see that the slope, represented by m, is 4/3, and the y-intercept, represented by b, is -4.