what is the equation of the following line? Be sure to scroll down first to see all answer options. ( 0, 0) (4, -3)

2 answers:

8 0

Y=mx+b, where m=(y2-y1)/(x2-x1) and b is equal to the value of y when x=0

We are given the point (0,0) so we know b=0, now just find the slope...

m=(-3-0)/(4-0)=-3/4 so the line is:

y=-3x/4

insens350 [35]3 years ago

6 0

we have that

The line passes through the points $A(0,0)\ B(4,-3)$

If the point passes through the origin

then

The linear equation is a direct variation

Remember that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In this case the constant of proportionality k is equal to the slope of the line

Find the value of k

$y/x=k$

Substitute the values of x and y of the point B

$-3/4=k$

$k=-\frac{3}{4}$

the equation of the line is

$y=-\frac{3}{4}x$

therefore

the answer is

$y=-\frac{3}{4}x$

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On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took

dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score s. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for s:

$\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5$

Let's call the score of the reality TV star r. If we add their score to the set, we now have 12 scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

$\dfrac{1116.5+r}{12}=98.04$