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Luda [366]
2 years ago
13

In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the s

lope of this line positive or negative? How do you know? •What is the y-intercept of this line? How did you find it? •What is the slope of this line? How did you find it?
Mathematics
1 answer:
Law Incorporation [45]2 years ago
5 0

     The line is positive because it is going upwards. The y-intercept is positive 3. It can be found by seeing where the line intercepts the y-axis. The slope of the line is 2 and it can be found by using "rise over run."

(I saw the image on another question you had asked. Have a nice day!)

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Answer:

D.) c is multiplied by 4

Step-by-step explanation:

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If a is doubled, it becomes 2a. If b is doubled, it becomes 2b. Now we replace a with 2a and b with 2b and simplify.

c = \dfrac{8(2a)^3}{2b}

c = \dfrac{8 \times 8a^3}{2b}

c = \dfrac{4 \times 8a^3}{b}

c = 4 \times \dfrac{8a^3}{b}

Answer: D.) c is multiplied by 4

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Step-by-step explanation:

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Graph the linear equation:<br> 2x-y=4
juin [17]

Answer:

Slope=2

x-intercept=\frac{4}{2} =2

y-intercept=\frac{4}{-1} =-4.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-y-(4)=0

Step 1:

Equation of a Straight Line

Solve   2x-y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-y-4  = 0 and calculate its properties

Graph of a Straight Line :

( see attatchment)

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 4/-1 so this line "cuts" the y axis at y=-4.00000

 y-intercept = 4/-1  = -4.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000

 x-intercept = 4/2  =  2  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -4.000 and for x=2.000, the value of y is 0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.000 - (-4.000) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 2

Geometric figure: Straight Line

1.  Slope = 2

2.  x-intercept = 4/2 = 2

3.  y-intercept = 4/-1 = -4.00000

- clarification for graph - green means rise  red means run , bottom black is x intercept which is 2.000  under rise is y-intercept  and under the y axis is 0.000 and -4.000.

8 0
2 years ago
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