Slope-Intercept Form Quick Check
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Question
Identify the slope and the y-intercept of the equation 4x−3y=12.(1 point)
Responses
1.The slope is 4, and the y-intercept is (0, 12).
2.The slope is 43, and the y-intercept is (0, −4).
3.The slope is −43, and the y-intercept is (0, 4).
4.The slope is 43, and the y-intercept is (0, 4).
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
In the equation 4x - 3y = 12, we can rearrange it to be in the slope-intercept form:
-3y = -4x + 12
Divide both sides by -3:
y = (4/3)x - 4
From this form, we can identify that the slope is 4/3 and the y-intercept is (0, -4).
Therefore, the correct answer is option 2: The slope is 4/3, and the y-intercept is (0, -4).
To identify the slope and the y-intercept of the equation 4x - 3y = 12, we need to rearrange the equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
First, let's solve for y:
4x - 3y = 12
-3y = -4x + 12
To isolate y, divide both sides of the equation by -3:
y = (4/3)x - 4
Therefore, the slope (m) is 4/3 and the y-intercept (b) is -4.
So, the correct answer is:
3. The slope is 4/3, and the y-intercept is (0, -4).