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prisoha [69]
3 years ago
9

The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and

has a y-intercept of 1?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0

Answer:

y =  -  \frac{3}{2} x + 1

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

slope of given line

=  \frac{0 - ( - 3)}{ - 2 - 0}

=  \frac{0 + 3}{ - 2}

=   - \frac{3}{2}

y =  -  \frac{3}{2} x + c

Given that the y- intercept is 1, c= 1.

y =  -  \frac{3}{2} x + 1

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9x+3y=18 whats is the equation when solved for y
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Answer:

y=6-3x

Step-by-step explanation:

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3 years ago
Pastries made out of filo dough are brushed with either olive oil or butter (but not both). Pastries made out of shortcrust doug
givi [52]

Answer:

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

Step-by-step explanation:

Rashid pastries (R)

Mikhail pastries (M)

Rashid and Mikhail submitted a total of x pastries

R+M=x (I)

Rashid made 2/3 as many pastries as Mikhail

(2/3)*R=M (II)

Using II in I

R+(2/3)*R=x

(5/3)*R = x

R=(3/5)*x (III)

Using III in I

(3/5)*x+M=x

M=x-(3/5)*x

M=(2/5)*x (IV)

Mikhail filo dough (MF)

Mikhail shortcrust dough (MS)

Rashid filo dough (RF)

Rashid shortcrust dough (RS)

Mikhail used filo dough for all of his pastries

MF=M

MS=0

Rashid used shortcrust dough for all of his pastries

RS=R

RF=0

Filo dough (FD)

FD=RF+MF=0+MF=MF=M (V)

5/8 of the filo dough pastries were brushed with olive oil

pastries brushed with olive oil (OI)

(5/8)*FD=OI

Using V

(5/8)*M=OI

Using IV

(5/8)*(2/5)*x=OI

(1/4)*x=OI (VI)

pastries brushed with butter (B)

Pastries made out of filo dough are brushed with either olive oil or butter (but not both)

FD=OI+B

B=FD-OI

Using V and VI

B= M - (1/4)*x

Using IV

B = (2/5)*x - (1/4)*x

B= (3/20)*x

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

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First find the slope. 4+1/3-2 = 5/1 or 5. Plug in your points to find b. 4=5(3)+b. 4=15+b. b=-11. SO the equation is y=5x-11.
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