Write an equation of the line parallel to 3x + 5 = 2y that has a y-intercept of -1
1 answer:
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
x +
= y ← in slope- intercept form
with slope m =
Parallel lines have equal slopes and c = - 1, thus
y = x - 1 ← in slope- intercept form
Multiply through by 2
2y = 3x - 2 ← equation of line
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[ Answer ]
[ Explanation ]
4(y + 6) - 2(y - 2)
[Expand] 4(y + 6): 4y + 24
4y + 24 - 2(y - 2)
[Expand] -2(y - 2): -2y + 4
4y + 24 - 2y + 4
[Simplify] 4y + 24 - 2y + 4: 2y + 28
= 2y + 28