Mathematics
19.03.2022 23:30
225
296
6
Solved by an expert

Write the equation of the line perpendicular to y=1/4x+7 and passes through (2,-9)

Write the equation of the line perpendicular to y=1/4x+7 and passes through (2,-9)
Write the equation of the line perpendicular to y=1/4x+7 and passes through (2,-9)
Show Answers
jeanieb
jeanieb
4,9(42 marks)
Perpendicular means the slope would be - 4
Point (2, - 9)
y - -9 = -4(x - 2)
y + 9 = -4x + 8
y = -4x - 1
debbys1802
debbys1802
4,4(18 marks)

y=\frac{1}{2} x+\frac{5}{2}

Step-by-step explanation:

First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x. Β 

\frac{6-2}{7- (-1)}=\frac{4}{8}=\frac{1}{2}

So now we have the equation y=\frac{1}{2} x+b, and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation

2=\frac{1}{2}(-1)+b

Rearrange the equation so it equals b

\frac{5}{2}=b

Put it together and that's the final equation!

y=\frac{1}{2} x+\frac{5}{2}

Popular Questions about the subject: Mathematics

69 decrease by Craig age is 15...
Mathematics
09.03.2021 00:46
Vhat value of p makes the equation true? 3/4p + 1/6= 2/3...
Mathematics
18.03.2020 11:19
What is the missing angle??...
Mathematics
29.01.2021 02:23
FIRST RIGHT GETS BRAINLIEST...
Mathematics
08.05.2020 16:53
HUR! HOW MANY QUARTER HOURS ARE IN 5 HOURS?!...
Mathematics
07.12.2020 01:51
If AOCD AJAL, then which of the following statements are true? 1. OC JA II....
Mathematics
08.02.2021 14:18
Pls help me i need help with this problem...
Mathematics
25.12.2020 06:42
(11x2 + 2x - 8) + (4x2 – 5x + 7)...
Mathematics
10.05.2020 01:23

New questions by subject

Asolid element that is malleable a good conductor of electro and reacts with...
Chemistry
22.01.2022 07:43
Simplify -15.5/5 select one: a. βˆ’3.1 b. 3.1 c. βˆ’3.3 d. 3.3 ( me 10 points...
Mathematics
12.09.2020 05:23
Which interval notation represent the set of all real numbers greater than...
Mathematics
29.01.2020 14:49
In what two ways did the technological innovations lead to the age of exploration...
History
29.01.2020 12:30
Write the equation. lucy rides her bike 20 km every week how many km dose...
Mathematics
16.01.2020 14:25
Why did james madison choose to order the amendments or major ideas of the...
History
16.11.2020 09:59
#
#
#
#
# #

We expand our knowledge with many expert answers