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
Vadim26 [7]
3 years ago
8

For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

pe-intercept form:
Mathematics
1 answer:
algol133 years ago
3 0

Answer:  The required answers are

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

Step-by-step explanation:  We are given the following linear equation in two variables :

3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

y=mx+c, where m is the slope and c is the y-intercept of the line.

From equation (i), we have

3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.

Comparing with the slope-intercept form, we get

\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.

Thus,

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

You might be interested in
For which set of data are the median and mode the same number?
dlinn [17]
1 hghhhhhhgghhghhhhhhhhhhhh
5 0
3 years ago
If 3x−y=12, what is the value of <br>8x<br>2y
PSYCHO15rus [73]

Answer:

8x=32\\2y=-24

Step-by-step explanation:

When solving for 1 variable, set the other to 0 and solve.

3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24

8 0
3 years ago
you sell lemonade for .25 cents per glass. you invested $2 in the ingredients. write a formula that gives the profit as a functi
jeyben [28]
Would it be 50 dollars
4 0
3 years ago
In the year 1900, the total number of metric tons of copper purchased in the world was 495,000. Each year since 1990,
Goryan [66]

Step-by-step explanation:

Here is the answer to your question.

5 0
2 years ago
According to one web page on the resale value of cars, a BMW that cost $71,000 in 2003 depreciates in value about 15% a year. Ho
rosijanka [135]
It would be 100% sure its 60.35
4 0
3 years ago
Other questions:
  • 7/8,42/48 determine whether each pair of ratios are equivalent ratios right yes or no
    7·1 answer
  • Find the product, -7/9 × 3/5, -2/5 × -1 1/4, 1 3/4 × -1 1/4, 1 3/4 × -3/4, -7/8 × -1 3/7, answer all please and thank you
    10·1 answer
  • How many solutions does the system x-3y = -8 x + 3y =8
    12·1 answer
  • Patricia buys a round dinner table the radius of the dinner table is 6 m what is the area of the table table
    12·2 answers
  • Which polynomial is in standard form?
    15·2 answers
  • How would I find angle B for this bridge? What formula would I use?
    10·2 answers
  • PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
    8·2 answers
  • Calculate size of angle x. I worked out CA=14cm
    7·1 answer
  • What is the greatest common factor of 60 and 75? A.3 B.6 C.15 D.25
    14·1 answer
  • What would be the correlation coefficient (r) of the following scatter plot?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!