Identify the slope and the y-intercept of the equation 4x−3y=12.(1 point)
Responses
The slope is 4, and the y-intercept is (0, 12).
The slope is 4, and the y-intercept is left parenthesis 0 comma 12 right parenthesis .
The slope is 43, and the y-intercept is (0, 4).
The slope is Start Fraction 4 over 3 End Fraction , and the y-intercept is left parenthesis 0 comma 4 right parenthesis .
The slope is 43, and the y-intercept is (0, −4).
The slope is Start Fraction 4 over 3 End Fraction , and the y-intercept is left parenthesis 0 comma negative 4 right parenthesis .
The slope is −43, and the y-intercept is (0, 4).
The slope is negative Start Fraction 4 over 3 End Fraction , and the y-intercept is left parenthesis 0 comma 4 right parenthesis .
The slope is 4, and the y-intercept is (0, 12).
The correct answer is:
The slope is 4, and the y-intercept is (0, 12).
To identify the slope and y-intercept of the equation 4x - 3y = 12, we can rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
First, let's isolate the y variable by subtracting 4x from both sides of the equation:
-3y = -4x + 12
Next, let's divide both sides by -3 to solve for y:
y = (4/3)x - 4
From this form, we can identify the slope as 4/3 and the y-intercept as (0, -4).
Therefore, the correct answer is: The slope is 4/3, and the y-intercept is (0, -4).