QuestionConvert the point-slope form $y-4=-2(x-3)$ to slope-intercept form $y=mx+b$ . What are $m$ and $b$ ?

Studdy Solution

STEP 1

Question: Which form is the given equation $y - 4 = -2(x - 3)$ in?
A) Slope-intercept form B) Standard form C) Point-slope form D) Vertex form
Answer: C) Point-slope form

STEP 2

Question: What is the result of the distribution of -2 in the equation $y - 4 = -2(x - 3)$ ?
A) $y - 4 = -2x - 6$ B) $y - 4 = 2x - 6$ C) $y - 4 = -2x + 6$ D) $y - 4 = 2x + 6$
Answer: C) $y - 4 = -2x + 6$

STEP 3

Question: What should be done to isolate y on one side of the equation $y - 4 = -2x + 6$ ?
A) Subtract 4 from both sides B) Add 4 to both sides C) Multiply both sides by -2 D) Divide both sides by -2
Answer: B) Add 4 to both sides

STEP 4

Question: What is the resulting equation after adding 4 to both sides in the equation $y - 4 = -2x + 6$ ?
A) $y = -2x + 2$ B) $y = -2x + 10$ C) $y = 2x + 10$ D) $y = 2x + 2$
Answer: B) $y = -2x + 10$

STEP 5

Question: In the equation $y = -2x + 10$ , what are the slope (m) and the y-intercept (b)?
A) m = 2, b = -10 B) m = -2, b = 10 C) m = 10, b = -2 D) m = -10, b = 2
Answer: B) m = -2, b = 10

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