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3 years ago

Write an equation in slope-intercept form (y = mx + b).

Mathematics

1 answer:

Wewaii [24]3 years ago

4 0

Answer:

y = 2/7x + 7

Step-by-step explanation:

We start off by putting the original equation into slope-intercept form. Subtract 7x from both sides, then divide both sides by -2. Your new equation should be y = -7/2x - 8. It's important to know that when two lines are perpendicular, their slopes (m) are opposite reciprocals of each other. So -7/2 becomes 2/7. The first part of your final equation is y = 2/7x + b.

Next, we need to find the y intercept (b). You need to plug the x and y values from the given coordinate point (-7,5) into your final equation. You should end up with: 5 = 2/7(-7) + b. Then, solve for b.

5 = -14/7 + b

5 = -2 + b

7 = b

Finally, plug the b value into your final equation and you will have your answer.

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I need some help, please

shtirl [24]

Answer:

I hope this helps!

5 0

3 years ago

Find anequation for the perpendicular bisector of the line segment whose endpoints are(3, -1) and (-9,5).

Mariulka [41]

The perpendicular bisector goes through the midpoint.

What is the midpoint of the 2 points?

We simply add up the x points and divide by 2. Then we add up the y points and divide by 2.

So,

Midpoint is:

$(\frac{3-9}{2},\frac{-1+5}{2})=(-3,2)$

Also, the perpendicular bisector's slope is the negative reciprocal of the line's slope.

The slope of the line is change in y points divided by change in x points.

Slope =

$\frac{5--1}{-9-3}=\frac{5+1}{-12}=\frac{6}{-12}=-\frac{1}{2}$

The slope (m) of the perpendicular line (negative reciprocal) is basically:

$2$

Equation of line is:

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

m is the slope (what we got "2")

x1 and y1 are the respective point where it passes through (which is the midpoint, which is (-3,2)

So, equation of perpendicular bisector is:

$\begin{gathered} y-y_1=m(x-x_1) \\ y-2=2(x+3) \\ y=2x+6+2 \\ y=2x+8 \end{gathered}$

4 0

1 year ago

Michelle has four credit cards with the balances and interest rates listed below. She would like to consolidate all of her credi

Serggg [28]

Answer:

$194.0008

Step-by-step explanation:

I'm not sure if this is correct but I hope it helps

16% of 4380

0,16×4380

=$700.8

16% of 1385

0,16×221.6

=221.6

16% of 36735

0,16×36735

=$5877.6

16% of 464.95

0,16×464.95

=$74.392

16% of 685.23

0,16×685.23

=$109. 6368

700.8+221.6+3877.6+5877.6+74.392+109.6368=$6984.0288

6984.0288÷36=$194.0008

6 0

3 years ago

Read 2 more answers

So i picked b because it looked like the correct one? can someone tell me if it is

lukranit [14]

Yeah you are correct

6 0

3 years ago

Read 2 more answers

Y = -x - 3 y = 5/2 x + 4 solve Solve each system by graphing. graph

Debora [2.8K]

Answer:

okay so I'm not so good at math but... if you go to desmos. com and put that in it will graph it for you.

4 0

3 years ago