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2 years ago

Find the equation of the line specified.

Mathematics

2 answers:

laila [671]2 years ago

8 0

Answer:

y = 6x + 28

Step-by-step explanation:

We are to determine the equation of a line whose slope or gradient is 6 and passes through the point (-4, 4)

The slope-intercept form of the equation of the straight line would be given by;

y = mx + c

y = 6x + c

We proceed to use the given point to determine c;'

when x = -4, y = 4

4 = 6(-4) + c

4 = -24 + c

c = 28

The slope-intercept form of the equation of the straight line is thus;

y = 6x + 28

arlik [135]2 years ago

5 0

For this case we have that by definicon, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut point with the y axis.

They tell us that the slope is 6, then:

$y = 6x + b$

We substitute the given point, to find the cut point:

$4 = 6 (-4) + b\\4 = -24 + b\\b = 4 + 24\\b = 28$

Finally:

$y = 6x + 28$

Answer:

Option D

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2 years ago

Solve the system of equations by graphing. [x+y=4 7x-6y=54

Leni [432]

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Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

linear equation
system of linear equation
solving system of linear equation by graphing
PEMDAS

<h3>given:</h3>

$\begin{cases} \sf x + y = 4 \\ \sf7x - 6y = 54 \end{cases}$

<h3>tips and formulas:</h3>

to solve system of linear equation by graphing we have to simplify the linear equations to slope-intercept form
slope intercept form:y=mx+b

<h3>let's solve:</h3>

let's simplify first linear equation to slope -intercept form

x+y=4

y=-x+4

table for this equation

<h3>see the first attachment picture</h3>

let's simplify first linear equation to slope -intercept form

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$\sf - 6y = - 7x + 54 \\ \sf \frac{ - 6y}{ - 6} = \frac{ - 7}{ - 6} x + \frac{54}{ - 6} \\ \sf y = \frac{7}{6} x - 9$

table for this equation

<h3>see the second attached picture</h3>

solutions by graphing the system of linear equation

<h3>see the last attached picture</h3>

note: the red line is for first equation as well as the green line is for second equation and the black dot is the coordinates of the solutions of x and y

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2 years ago

We want to place a bench measuring 7.05 feet in the center of a platform that is 40.75 feet long. What is the distance from each

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2 years ago

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Arlecino [84]

Answer:

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