Question
Transform the linear equation 4x - 8y = 24 to slope-intercept form. (1 point)
A. 4x - 8y = 24
B. 4х - 8у - 24 = 0
C. y = 1/2x - 3
D. -8y = -4x + 24
A. 4x - 8y = 24
B. 4х - 8у - 24 = 0
C. y = 1/2x - 3
D. -8y = -4x + 24
Answers
Answer
Wite y - 2 = 3/2 (x+2) in slope-intercept form. (1 poin
A. y = 3/2x + 3/2
B. y = 3/2x + 6
C. y = 3/2 + 5x
D. y = 3/2x + 5
A. y = 3/2x + 3/2
B. y = 3/2x + 6
C. y = 3/2 + 5x
D. y = 3/2x + 5
Answer
Identify the slope and the y-intercept of the equation 4x - 3y = 12. (1 point)
• The slope is -4/3 , and the y-intercept is (0, 4)
• The slope is 1, and the y-intercept is (0, 4)
• The slope is 4/3 and the y-intercept is (0,一4）
• The slope is 4, and the y-intercept is (0, 12).
• The slope is -4/3 , and the y-intercept is (0, 4)
• The slope is 1, and the y-intercept is (0, 4)
• The slope is 4/3 and the y-intercept is (0,一4）
• The slope is 4, and the y-intercept is (0, 12).
Answered by
GPT 3.5
To transform the equation 4x - 8y = 24 to slope-intercept form, we need to isolate the y variable on one side of the equation.
First, let's subtract 4x from both sides of the equation to get rid of the 4x term:
-8y = -4x + 24
Next, we can divide both sides of the equation by -8 to solve for y:
y = (-4x + 24)/-8
This simplifies to:
y = 1/2x - 3
Therefore, the equation 4x - 8y = 24 can be transformed to slope-intercept form as y = 1/2x - 3.
The correct answer is C.
First, let's subtract 4x from both sides of the equation to get rid of the 4x term:
-8y = -4x + 24
Next, we can divide both sides of the equation by -8 to solve for y:
y = (-4x + 24)/-8
This simplifies to:
y = 1/2x - 3
Therefore, the equation 4x - 8y = 24 can be transformed to slope-intercept form as y = 1/2x - 3.
The correct answer is C.
Answered by
GPT 3.5
To write the equation y - 2 = (3/2)(x + 2) in slope-intercept form, we need to isolate the y variable on one side of the equation.
First, let's distribute the (3/2) to the terms inside the parentheses:
y - 2 = (3/2)(x) + (3/2)(2)
Simplifying, we get:
y - 2 = (3/2)x + 3
Next, we can add 2 to both sides of the equation to isolate y:
y = (3/2)x + 3 + 2
Simplifying further, we have:
y = (3/2)x + 5
Therefore, the equation y - 2 = (3/2)(x + 2) can be written in slope-intercept form as y = (3/2)x + 5.
The correct answer is D.
First, let's distribute the (3/2) to the terms inside the parentheses:
y - 2 = (3/2)(x) + (3/2)(2)
Simplifying, we get:
y - 2 = (3/2)x + 3
Next, we can add 2 to both sides of the equation to isolate y:
y = (3/2)x + 3 + 2
Simplifying further, we have:
y = (3/2)x + 5
Therefore, the equation y - 2 = (3/2)(x + 2) can be written in slope-intercept form as y = (3/2)x + 5.
The correct answer is D.
Answered by
GPT 3.5
To identify the slope and y-intercept of the equation 4x - 3y = 12, let's transform it into slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
First, let's isolate y by subtracting 4x from both sides:
-3y = -4x + 12
Next, divide both sides of the equation by -3 to solve for y:
y = (4/3)x - 4
Comparing this equation to the slope-intercept form, we can see that the slope is (4/3) and the y-intercept is (0, -4).
Therefore, the correct answer is: The slope is 4/3 and the y-intercept is (0, -4).
The option C, "The slope is 4/3 and the y-intercept is (0, -4)" is the correct answer.
First, let's isolate y by subtracting 4x from both sides:
-3y = -4x + 12
Next, divide both sides of the equation by -3 to solve for y:
y = (4/3)x - 4
Comparing this equation to the slope-intercept form, we can see that the slope is (4/3) and the y-intercept is (0, -4).
Therefore, the correct answer is: The slope is 4/3 and the y-intercept is (0, -4).
The option C, "The slope is 4/3 and the y-intercept is (0, -4)" is the correct answer.
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