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Lana is trying to find an equation for a line that passes through (5, 2) and is parallel to 3x + 2y = 15. Explain the steps that Lana could take to determine the equation. A) Write 3x + 2y = 15 in slope-intercept form. Then, substitute the slope of that line and the point (5, 2) into the point-slope formula. B) Write 3x + 2y = 15 in slope-intercept form. Then, substitute the reciprocal of the slope of that line and the point (5, 2) into the point-slope formula. C) Write 3x + 2y = 15 in slope-intercept form. Then, substitute the opposite reciprocal of the slope of that line and the point (5, 2) into the point-slope formula. D) Write 3x + 2y = 15 in slope-intercept form. Then, substitute the opposite reciprocal of the slope of that line and the point (0, 0) into the point-slope formula.

Answer :

al319966

Answer:

A

Step-by-step explanation:

3x+2y=15

-3x

2y=15-3x

divide by 2

y=-3/2x+7.5

Parallel Line = Same Slope

y=-3/2x+b

substitute (5,2)

2=-3/2(5)+b

2=-7.5+b

   +7.5

9.5=b

Final Equation: y=-3/2x+9.5

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