Question

given 3x+2y=8 what equation represents the line parallel to the given equation and passes through the point (-2,5).

Answer 1

y = -3/2 x + 2

Explanation:

3x + 2y = 8

2y = -3x + 8

y = -3/2 x + 4

slope of given line = m = -3/2

Parallel lines have equal slopes.

Slope of parallel line through point (-2, 5), m = -3/2.

y = mx + b

m = -3/2

y = -3/2 + b

point: (-2, 5)

5 = (-3/2)(-2) + b

5 = 3 + b

b = 2

Equation: y = -3/2 x + 2