1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
9966 [12]
3 years ago
11

Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.

Mathematics
1 answer:
Airida [17]3 years ago
6 0

<u>ANSWER: </u>

The slope intercept form of the required line is y = -2x + 20.

<u>SOLUTION: </u>

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line  passes through (7,-6).  

We need to find the slope intercept form of perpendicular line of given line.  

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

Slope of given line is \frac{1}{2}, by comparing with the general form of slope intercept form.

\frac{1}{2} \times slope of required line = -1

Slope of perpendicular line = -2

Now, line equation of perpendicular line in point slope form is

$y-y_{1}=m\left(x-x_{1}\right)$

y – (-6) = -2(x – 7)

y + 6 = -2x + 14

y = -2x + 20

the above equation is in the form of slope intercept form of a line equation  

where slope m = -2 and intercept c = 20

hence, the slope intercept form of the required line is y = -2x + 20.

You might be interested in
MATH 20 POINTS HELP PLZ :)
lorasvet [3.4K]

Answer:

the answer is C.

Step-by-step explanation:

6 0
3 years ago
10 pts<br> Point K (-2,-3) is translated (x + 5, y-7). What are the coordinates K?
Nady [450]
The answer is (3,-10)
4 0
3 years ago
Read 2 more answers
Solve 2^x=3. round to the nearest ten thousandth
nikitadnepr [17]
2^{x}  = 3
log_{2}3 = x
\frac{log_3}{log_2} = x
x = 1.585
8 0
3 years ago
Read 2 more answers
Maribel wants to skate 12 miles on Monday. If she skates io mile Monday morning and į of that distance Monday afternoon, will sh
Alex17521 [72]

Answer & Step-by-step explanation:

Yes, Maribel will reach her goal. If you convert each fraction with a denominator of 6 then add it up, it will be 1 7/6 which is equal to 2 1/6.

I hope this helps ;)

5 0
2 years ago
What is 32/28 in simplest form
asambeis [7]
32/28 divide top and bottom by 4 =8/7
=1 1/7
5 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following is an example of a recursive sequence? 2, 5, 8, 11, ... 1, 3, 9, 27, ... 2, 4, 6, 10, ...
    13·2 answers
  • At a certain time of day 1.8m tall person standing next to the Washington monument cast a 0.7m shadow at the same time the Washi
    8·1 answer
  • a triangle has sides that measure 4 units 6 units and 7.21 units what is the area of a circle with a circumference that equals t
    11·1 answer
  • Which graph represents the solution set of the system of inequalities?<br><br> {y&lt;−3x−2y≤x−2
    13·1 answer
  • A super has a key ring with 12 keys. He has forgotten which one opens the apartment he needs to enter. What is the probability h
    11·1 answer
  • Question 2.1: To draw the supply curve, the cost of inputs to production must be held constant. If the market price of oil decli
    12·1 answer
  • Hi, Is anyone willing to take my AP Calc quiz for me? I’ll pay!!! <br><br><br> Thank you.
    6·1 answer
  • The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally beli
    14·2 answers
  • Below. What is m∠1?<br><br> m∠1 =
    14·1 answer
  • What do you get when you combine the following numbers? -4-4-4-4
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!