Write y−2=32(x+2) in slope-intercept form.(1 point)
Responses
y=32x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6
y=32x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y=32x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 10 to 10 in one unit increments. An upward slanting line is graphed on the coordinate plane. The upward slanting line passes through closed points plotted at left parenthesis 0 comma negative 10 right parenthesis and left parenthesis 1 comma negative 7 right parenthesis.
Is this the correct graph of 3x−y=10?
(1 point)
Responses
No, it is not the correct graph because the slope is 3 and the y-intercept is (0, −10).
No, it is not the correct graph because the slope is 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .
Yes, it is the correct graph because the slope is 3 and the y-intercept is (0, −10).
Yes, it is the correct graph because the slope is 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .
Yes, it is the correct graph because the slope is −3 and the y-intercept is (0, −10).
Yes, it is the correct graph because the slope is negative 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .
No, it is not the correct graph because the slope is −3 and the y-intercept is (0, −10).
Question
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 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 43, and the y-intercept is (0, 4).
To write the equation y - 2 = 32(x + 2) in slope-intercept form, follow these steps:
1. Distribute the 32 to both terms inside the parentheses:
y - 2 = 32x + 64
2. Add 2 to both sides of the equation to isolate the y term:
y = 32x + 64 + 2
3. Simplify the equation by combining like terms:
y = 32x + 66
Therefore, the equation y - 2 = 32(x + 2) in slope-intercept form is y = 32x + 66.
To write the equation y−2=32(x+2) in slope-intercept form (y = mx + b), we need to isolate the y variable.
First, distribute the 32 to both terms inside the parentheses:
y - 2 = 32x + 64
Next, move the constant term (-2) to the other side of the equation by adding 2 to both sides:
y = 32x + 66
Therefore, the equation y−2=32(x+2) can be written in slope-intercept form as y = 32x + 66.