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3 years ago

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2

Mathematics

1 answer:

Elanso [62]3 years ago

6 0

Answer:

D. y = 5x + 29

Step-by-step explanation:

To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.

The equation of a line is y=mx + b.

x and y are the coordinates of any point on a line.

m is the slope.

b is the y-intercept.

Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.

m = 5

Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.

Substitute the known information into the equation and isolate b.

y = mx + b

-1 = 5(-6) + b <=Simplify by solving 5 X -6

-1 = -30 + b

-1 + 30 = -30 + 30 + b <= Add 30 to both sides to isolate b

29 = b

b = 29 <= Standard formatting puts the variable on the left side

Put the m and b values into the equation of a line to solve:

y = mx + b

y = 5x + 29

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What is the slope intercept equation for this graph someone answer the question pls

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Answer:

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Step-by-step explanation:

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3 years ago

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

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<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>

$\texttt{ }$

<em>Equation 1 ↔ Equation 2 :</em>

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

$\texttt{ }$

$C = 6 + M$

$C = 6 + 2$

$C = 8$

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<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

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Answer:

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A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the resul

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Answer:

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Step-by-step explanation:

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