Find the equation of the line through point (−4,−4) and perpendicular to 2x+3y=3. Use a forward slash (i.e. "/") for fractions (
e.g. 1/2 for 12).
1 answer:
Answer:
y = 3/2x + 2
Step-by-step explanation:
Step 1: Write original equation into slope-intercept form
3y = -2x + 3
y = -2/3x + 1
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the other slope.
m = 3/2x
Step 3: Find <em>b</em>
y = 3/2x + b
-4 = 3/2(-4) + b
-4 = -6 + b
b = 2
Step 4: Rewrite perpendicular equation
y = 3/2x + 2
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