. An object’s gravitational potential energy depends on the object’s mass, the strength of the gravitational field, and what other variable?(1 point)
Responses
the shape of the object
the shape of the object
the color of the object
the color of the object
the speed of the object
the speed of the object
the object's height from the ground
the object's height from the ground
Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
Responses
4x−8y=24
4 x minus 8 y equals 24
−8y=−4x+24
negative 8 y equals negative 4 x plus 24
y=12x−3
y equals Start Fraction 1 over 2 End Fraction x minus 3
4x−8y−24=0
y=(1/2)x-3
Write y−2=3/2(x+2) in slope-intercept form.(1 point)
Responses
y=3/2+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y=3/2x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
y=3/2x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6
y=3/2x+32
y=(3/2)x+5
Graph the equation 9−x=3/2y using slope-intercept form.(1 point)
An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 10 to 10 in one unit increments. A downward slanting line is graphed on the coordinate plane. The downward slanting line passes through closed points plotted at left parenthesis 0 comma 6 right parenthesis and left parenthesis 3 comma 4 right parenthesis. "/>
A coordinate plane shows the x-axis ranging from negative 9 to 9 in increments of 1 and the y-axis ranging from 11 to negative 11 in increments of 1. A line with arrows at both ends joins two plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 3 right parenthesis, and left parenthesis 4 comma 2 right parenthesis."/>
A coordinate plane shows the x-axis ranging from negative 9 to 9 in increments of 1 and the y-axis ranging from 11 to negative 11 in increments of 1. A line with arrows at both ends joins two plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma negative 3 right parenthesis, and left parenthesis 7 comma negative 1 right parenthesis."/>
A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins two plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis and left parenthesis 2 comma 1 right parenthesis. "/>
The correct graph for the equation 9−x=3/2y using slope-intercept form is the first illustration that shows a downward slanting line passing through the points (0, 6) and (3, 4).
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
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 .
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 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).
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).
No, it is not the correct graph because the slope of 3x−y=10 is 3 and the y-intercept is (0, -10).
dentify 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 −4/3, 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 4/3, 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 4/3, and the y-intercept is (0, 4).