Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
Responses
y=12x−3
y equals Start Fraction 1 over 2 End Fraction x minus 3
−8y=−4x+24
negative 8 y equals negative 4 x plus 24
4x−8y−24=0
4 x minus 8 y minus 24 equals 0
4x−8y=24
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The linear equation 4x-8y=24 can be transformed to slope-intercept form by isolating y on one side of the equation.
First, subtract 4x from both sides of the equation:
-8y = -4x + 24
Next, divide both sides of the equation by -8 to solve for y:
y = (-4x + 24) / -8
Simplifying the equation further:
y = -1/2x + 3
Write y−2=32(x+2) in slope-intercept form.(1 point)
Responses
y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
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=32x+5
To write the equation y−2=32(x+2) in slope-intercept form, we need to isolate y on one side of the equation.
First, distribute 32 to both terms inside the parentheses:
y - 2 = 32x + 64
Next, add 2 to both sides of the equation to isolate y:
y = 32x + 66
Therefore, the equation y−2=32(x+2) can be rewritten in slope-intercept form as y = 32x + 66.
write y-2=2/3(x+2) in slope intercept form
To write the equation y - 2 = (2/3)(x + 2) in slope-intercept form, we need to isolate y on one side of the equation.
First, distribute (2/3) to both terms inside the parentheses:
y - 2 = (2/3)x + 4/3
Next, add 2 to both sides of the equation to isolate y:
y = (2/3)x + 4/3 + 2
Combining the constants,
y = (2/3)x + 4/3 + 6/3
Simplifying the fraction,
y = (2/3)x + 10/3
Therefore, the equation y - 2 = (2/3)(x + 2) can be rewritten in slope-intercept form as y = (2/3)x + 10/3.
that isnt an answer choice
Apologies for the confusion. Let's try again.
To write the equation y - 2 = (2/3)(x + 2) in slope-intercept form, we need to isolate y on one side of the equation.
First, distribute (2/3) to both terms inside the parentheses:
y - 2 = (2/3)x + 4/3
Next, add 2 to both sides of the equation to isolate y:
y = (2/3)x + 4/3 + 2
Combining the constants,
y = (2/3)x + 4/3 + 6/3
Simplifying the fraction,
y = (2/3)x + 10/3
Therefore, the equation y - 2 = (2/3)(x + 2) can be rewritten in slope-intercept form as y = (2/3)x + 10/3.