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:
Options (A), (C) and (E)
Step-by-step explanation:
Given equation is,
-3x + 7 = -5 + x
-3x + 7 - 7 = -5 + x - 7
-3x = -5 + x - 7 Option (C)
-3x = x - 12
-3x - x = -12
-4x = -12 Option (A)
4x = 12 Option (E)
x = 3
Therefore, Options (A), (C) and (E) are the correct options.