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 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 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 4/3, and the y-intercept is (0, -4).
The correct answer is:
The slope is Start Fraction 4 over 3 End Fraction , and the y-intercept is (0, -4).
To identify the slope and y-intercept of the equation 4x - 3y = 12, we can rewrite the equation in slope-intercept form (y = mx + b).
Step 1: Start with the original equation: 4x - 3y = 12.
Step 2: Rearrange the equation to solve for y: -3y = -4x + 12.
Step 3: Divide both sides of the equation by -3 to isolate y: y = (4/3)x - 4.
The equation is now in slope-intercept form, where the coefficient of x is the slope (m) and the constant term is the y-intercept (b).
So, comparing it to y = mx + b, 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).