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4 years ago

it's asking me to find an equation for the line I drew but I don't know how, and I'm not even sure if my line is correct.

Mathematics

2 answers:

vovangra [49]4 years ago

8 0

Your line is wrong from the start. But for the equation:
$y = \frac{15}{2} x$

miskamm [114]4 years ago

3 0

This sort of problem doesn't have one right answer. All that is required is that your answer be consistent: the line and the equation should match, and should be "reasonably close" to the data.

Your graph is a bit funny in that most vertical squares are marked as representing 10 units, but the first one is marked as 5. That's OK if you consider zero to be in the middle of the first square the way multiples of 10 are in the middle of squares above that. Most folks would expect the squares to be labeled 0 (at the bottom), then 10, 20, 30, and so on.

If you look at the first two data points, they are proportional with a slope of 15/2 = 30/4. However, the next two data points are not. It looks like you have drawn your line (and it should be a straight line—as with a ruler) through the first and last data points. If so, you can use those two points to find the equation.

The slope between them is ...

... (difference of y-values)/(difference of x-values) = (65 -15)/(8 -2) = 50/6 = 25/3

Then, the point-slope form of the equation of a line can be used. For slope m, the line through point (h, k) can be written as

... y = m(x -h) +k

If you use the first point and the slope calculated above, this becomes

... y = (25/3)(x -2) +15

... y = (25/3)x -(5/3) . . . . simplified

where y is the breaking weight in pennies and x is the number of layers.

_____

You will note that this line has a negative y-intercept. That is, a bridge with 0 layers is broken already. Of course, a bridge with 0 layers does not exist, so the domain of your equation would be for 2–8 layers (or so—covering the data you have, and maybe allowing for a little extrapolation).

Another way to draw the line is to give it a slope that matches the slope between the first two points and the last two points (y-difference of 15 for x-difference of 2), but has a slight positive offset to better match the last two points at the expense of matching the first two points. Such a line might have the equation

... y = (15/2)x +(5/2)

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Daniel [21]

equation in slope-intercept form is:

$y=9x+7$

Step-by-step explanation:

The general form of slope-intercept form is:

$y=mx+b$

where m is the slope and b is the y-intercept

In the question we are given slope m=9 and a point(0,7)

We will find b i.e y-intercept

$y=mx+b\\7=9(0)+b\\7=0+b\\b=7$

So, value of b=7 and value of slope m=9

So, equation in slope-intercept form is:

$y=9x+7$

Keywords: slope-intercept form

Learn more about slope-intercept form at:

#learnwithBrainly

8 0

3 years ago

Does anyone understand how to do this

Lerok [7]

Answer:

Step-by-step explanation:

I understand it! (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers. You don't know what they are so we will call them x and y. Our first statement says that these numbers multiply to equal 120. So that first equation is

xy = 120

Our second statement says that they add to -22. So that second equation is

x + y = -22

Now we need to find the 2 numbers. We have 2 unknowns, x and y. That means that we have to have 2 equations. No more than 2 no less than 2. Solve the first equation for y. It doesn't matter which equation you pick and which variable you choose to solve for. If you do the work correctly, you will get the correct answers either way. Solving the first equation for y gives you:

$y=\frac{120}{x}$

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

$x+\frac{120}{x}=-22$

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether. Do this by multiplying everything by x to get

$x^2+120=-22x$

Get everything on one side of the equals sign and factor:

$x^2+22x+120=0$

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

$x^2+12x+10x+120=0$

Use factoring by grouping now.

$(x^2+12x)+(10x+120)=0$

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0. Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which. They are not asking you to specifically define x and y. They are asking you to find the numbers, and you did!

6 0

3 years ago

Chris is buying a new I-phone at the discount of 10%. The original price is $399.99. How much money will he pay for his new phon

kodGreya [7K]

Answer:

chris needs to pay 10% off that amount (aka the orignal amount)

Step-by-step explanation:

5 0

3 years ago

PLS HELP ILL MARK BRAINLIST

Genrish500 [490]

Step-by-step explanation:

ok whats the question tell

6 0

3 years ago

HURRY PLS What is the solution to the system that is created by the equation y = 2 x + 10 and the graph shown below? On a coordi

marin [14]

Answer:

(-8, -6)

Step-by-step explanation:

When you graph the given equation on the given graph, you find the lines intersect at (-8, -6).

The solution to the system is (-8, -6).

The equation is given in slope-intercept form, so you can find the y-intercept (y=10) and draw a line with slope 2 from there. It will go through (-5, 0), so you know the solution lies in the 3rd quadrant and has an x-value less than -5. Only one answer choice matches.

5 0

3 years ago

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