Write the slope-intercept form of the equation that passes through the point (4,-4) and is parallel to the line y = 2/3x - 5 A.
y = 2/3x - 20/3 B. y = 2/3x - 4/3 C. y = -3/2x + 2 D. y = -3/2x - 10
2 answers:
Answer:
C. y = -3/2x + 2
Step-by-step explanation:
Step 1: Find slope of perpendicular line
<em>Take the negative reciprocal of the 1st equation</em>
m = -3/2
y = -3/2x + b
Step 2: Find <em>b</em>
-4 = -3/2(4) + b
-4 = -6 + b
b = 2
Step 3: Rewrite perpendicular line
y = -3/2x + 2
The answer is C.y= -3/2x +2
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