3 years ago

Write an equation of the line parallel to 3x + 5 = 2y that has a y-intercept of -1

Mathematics

1 answer:

denpristay [2]3 years ago

8 0

Answer:

3x - 2 = 2y

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 5 = 2y into this form by dividing all terms by 2

$\frac{3}{2}$ x + $\frac{5}{2}$ = y ← in slope- intercept form

with slope m = $\frac{3}{2}$

Parallel lines have equal slopes and c = - 1, thus

y = $\frac{3}{2}$ x - 1 ← in slope- intercept form

Multiply through by 2

2y = 3x - 2 ← equation of line

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