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Oksi-84 [34.3K]
3 years ago
8

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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A)
To be similar triangles have to have equal angles
triangle ZDB' 
1)angle Z=90 degrees
triangle B'CQ
1) angle C 90 degrees

angle A'B'Q=90
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DB'Z+90+CB'Q=180
DB'Z+CB'Q=90

triangle ZDB'
DZB'+DB'Z=180-90=90

DB'Z+CB'Q=90
DZB'+DB'Z=90
DB'Z+CB'Q=DZB'+DB'Z
2)CB'Q=DZB' (these angles from two triangles ZDB' and B'CQ )
3)so,angles DB'Z and B'QC are going to be equal because of sum of three angles in triangles =180 degrees and 2 angles already equal.
so this triangles are similar by tree angles
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CQ-?
DC=AB=21
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c)
BC=BQ+QC=B'Q+QC
BQ' can be found by pythagorean theorem



3 0
3 years ago
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