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
Angelina_Jolie [31]
3 years ago
12

Consider the line -x+3y=1

Mathematics
1 answer:
deff fn [24]3 years ago
6 0
The line
<span>-x+3y=1 can be moved into slope intercept form to get slope.
slope is what matters for questions that asks about perpendicular/parallel...

isolate y to get slope intercept form

</span>
<span>-x+3y=1
add x to both sides
3y = x + 1
divide both sides by 3
y = (x+1)/3
y = x/3 + 1/3

the slope is 1/3 because x/3 is the same as 1/3 * x.

the line that is perpendicular to this line has a slope that is the negative recirpocal of the original slope like.

perpendicular line slope: -3. (reciprocal of 1/3 is 3; then make that negative).

Told that this perp line passes through (7,-5), using slope intercept form y = mx + b with unknown y-intercept b value:

y = -3x + b

since (7,-5) means at x = 7, y = -5, plug those numbers in to solve for b

-5 = -3(7) + b
-5 = -21 + b
b = -5 + 21
b = 16

perpendicular line:
y = -3x + 16

for the parallel line has the same slope as the original
slope of parallel line: 1/3

we are told that parpall line goes through (7,-5) so using the unfinished slope-intercept form y = mx + b with unfinishe dinfo: we have

y = 1/3 x + b

since at x = 7 we have y = -5, plug it in

-5 = (1/3)(7) + b
-5 = 7/3 + b
b = -5 - 7/3
b = -15/3 - 7/3 .... same denominator for fraction add/subtract
b = -22/3

parallel line equation:
y = 1/3x - 22/3
</span>
You might be interested in
Gradient of f(x) equal to3x^2 -2x plus 1​
timurjin [86]
F(x) = 3x^2 - 2x + 1

4 0
3 years ago
Pls help questions on the picture i will give brainleist
vovangra [49]

Answer:

B, C, F

Step-by-step explanation:

Took this quiz got it right

4 0
3 years ago
Read 2 more answers
I can not figure out how to do this question and I need help please
spayn [35]
\bf \textit{quadratic formula}\\\\&#10;&#10;\begin{array}{lcclll}&#10;1x^2&-6x&+12&=0\\&#10;\uparrow &\uparrow &\uparrow \\&#10;a&b&c&#10;\end{array}&#10;\qquad \qquad &#10;x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}
6 0
3 years ago
Write an equation in point-slope form for the line through the given point with the given slope. (5,2);m=3
Sloan [31]
Point-slope form is (y - y1) = m(x - x1) so just plug in your given info:

y - 2 = 3(x - 5)

so your answer is D!!
6 0
3 years ago
Ms. Higgins would like for her homework assignments to have three addition problems for every five subtraction problems. If she
NikAS [45]

Answer: 65

3:5=35:x

solve for x

4 0
2 years ago
Other questions:
  • A track coach is trying to improve the 50 -meter-dash times of the track team. He times each student and then implements a month
    15·1 answer
  • Jenna goes for a jog every morning. The line plot shows the number of hours she jog for 5 days how many total hours did she draw
    5·1 answer
  • It’s a Quiz and I Have a time limit.
    9·1 answer
  • A coffee distributor needs to mix a(n) Kenya coffee blend that normally sells for $11.60 per pound with a Queen City coffee blen
    9·1 answer
  • Distributive property -4(-10x^2-8x+7)
    13·1 answer
  • What is the answer to - $50 - $28.67
    10·2 answers
  • Bill rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 92 cents for each mile dr
    5·1 answer
  • $5,000 at a simple annual interest rate of 6.5% for 5 years. What is the total amount of interest Ms. Lee must pay?
    7·1 answer
  • 20 Here is a list of five numbers.
    14·1 answer
  • Fumio performed the following operations on vectors u, v, and w, where u = ⟨6, –8⟩, v = ⟨1, 2⟩, w = ⟨3, –3⟩ 2u – 3(v + w) 2 ⟨6,
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!