Identify the slope and the y-intercept of the equation 4x−3y=12.(1 point)
Responses
The slope is 43, and the y-intercept is (0, 4).
The slope is 4, and the y-intercept is (0, 12).
The slope is −43, and the y-intercept is (0, 4).
The slope is 43, and the y-intercept is (0, −4).
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
To find the slope and y-intercept of the equation 4x − 3y = 12, we need to rearrange it in the slope-intercept form.
Starting with 4x - 3y = 12, we can move 4x to the other side by subtracting 4x from both sides:
-3y = -4x + 12.
Next, we can divide both sides of the equation by -3 to solve for y:
y = (4/3)x - 4.
Comparing this equation to the slope-intercept form, we can see that the slope is 4/3, and the y-intercept is (0, -4).
Therefore, the correct response is:
The slope is 4/3, and the y-intercept is (0, -4).