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4 years ago

The equation y=mx+b is the slope-intercept form of the equation of a line. What is the equation solved for b?

Mathematics

2 answers:

zheka24 [161]4 years ago

6 0

Answer:

y - mx = b ( second choice )

Step-by-step explanation:

given y = mx + b

Isolate b by subtracting mx from both sides

y - mx = b

DedPeter [7]4 years ago

4 0

Answer:

I believe C

Step-by-step explanation:

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Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4

Dmitry [639]

Answer:

$\boxed{\sf Standard-form :x + 4y -17=0 }\\$

$\boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}$

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

$\longrightarrow x + 4y = 7\\$

Firstly convert it into slope intercept form of the line which is y = mx + x , as ;

$\longrightarrow 4y = -x + 7 \\$

$\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\$

On comparing it to y = mx + c , we have ,

$\longrightarrow m =\dfrac{-1}{4}\\$

$\longrightarrow c =\dfrac{7}{4}\\$

Now as we know that the slope of two parallel lines is same . Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||)}=\dfrac{-1}{4}\\$

Now we may use point slope form of the line as ,

$\longrightarrow y - y_1 = m(x-x_1) \\$

On substituting the respective values ,

$\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\$

$\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\$

$\longrightarrow 4(y -5 ) =-1(x +3) \\$

$\longrightarrow 4y -20 = - x -3 \\$

$\longrightarrow x + 4y -20+3=0\\$

$\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\$

Again the equation can be rewritten as ,

$\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5 \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4} \\$

$\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\$

6 0

2 years ago

1. Make up two equations, one that is true and one that is false. Do not state which equation is true and which is false. Your c

N76 [4]

1. The equations that I can think of are,
3 + 1 = 11 - 6
and
8 - 1 = 6 + 1

2. An example of equation that uses the variable x,
6x - 2x = 8
It may be required of you to perform certain steps in order to determine the value of x.

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3 years ago

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A radio disc jockey has 7 songs on this upcoming hour's playlist: 2 are rock songs, 2 are reggae songs, and 3 are country songs.

Eddi Din [679]

Probability first song is country is 3/7
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4 years ago

Given that 5x:9=7:3 Calculate the value of x

morpeh [17]

Answer:

x = 4.2

Step-by-step explanation:

<h3>Given </h3>

5x:9=7:3

The value of x

<h3>Solution</h3>

5x:9=7:3
5x = 7*9/3
5x = 7*3
5x = 21
x = 21/5
x = 4.2

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Ganezh [65]

Answer:

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Step-by-step explanation:

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