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
atroni [7]
3 years ago
10

What is an equation of the line that passes through the points (6,4) and

Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

y = 3/2x - 5

Step-by-step explanation:

The equation for a linear line is y=mx+c:

  • m = gradient
  • c = y intercept

<u>FINDING OUT THE GRADIENT (m)</u>

The gradient can be found out by using this formula:

change in y / change in x ---> y2-y1/x2-x1

Therefore, we can substitute in the values from the given coordinates. Assuming (4,1) is coordinate point 1 and (6,4) is coordinate point 2, we substitute in the values as so:

(4-1)/(6-4) --> 3/2 (or 1.5, but it is always better to leave as a fraction in maths)

We now know our value for m is 3/2 or 1.5.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<u>FINDING OUT THE Y INTERCEPT (c)</u>

Now we must find the value of c. This is very simple now since we know the gradient. I don't know a more mathematical way of doing this, but the easiest way I can think of is just going down by the value of the gradient each time (1.5 or 3/2, in this scenario 1.5 is probably easier to use). We know as the x value decreases by 1, the y value decreases by 1.5 (or if x increases, y increases by 1.5).

If you want to use whole numbers rather than decimals, when the x value increases (or decreases) by 2, the y value increases (or decreases) by 3 (1.5*2=3). So, now we just work out what the y intercept is by finding out what y would be when the x coordinate is 0. So:

If y is 1 when x is 4 (4,1), then if x=2, y would be 1-3=-2 (2,-2).

If x=0, y would be -2-3=5 (0,-5).

This is the point where the line intercepts the y axis. We now know our value for c is -5.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Now we simply just substitute our values into the equation. So:

y = mx + c

If m=3/2 and c=-5, then:

y = 3/2x - 5

<em>(Sorry if this was confusing, hope it kinda helped though!)</em>

You might be interested in
The gross domestic product is
Daniel [21]
I’m pretty sure that the answer is D
8 0
3 years ago
Jerry drew JKL and MNP so that K= N,L= P, JK=6, and MN=18. Are JKL and MNP similar? IF so, identify the similarity postulate or
Nesterboy [21]

The right answer is similar-aa

5 0
3 years ago
Read 2 more answers
What are the dimensions for this triangle?
REY [17]

Answer:

2 and 2

Step-by-step explanation:

Parallel sides of rectangles are congruent, and because the other side of both rectangles is 2, the sides of the triangle are 2 because they share the side with the rectangle.

4 0
3 years ago
A circle has a radius of 19 cm. Find the radian measure of the central angle that intercepts an arc of length 4 cm.
Alona [7]

Answer:

1134

Step-by-step explanation:

\pi \: radius  \: 2

=1134.114948

6 0
3 years ago
A pilot needs to know the maximum height an aircraft can fly at. The cabin has
oee [108]

round it to a whole number of 100 m witch i think would be 15700 m

also i dint realize it said round it to a whole number and to 100 m so it would also be a whole number of 16000 i think if not this than 20000

3 0
3 years ago
Read 2 more answers
Other questions:
  • Ellen draws two plane figures.one of the figures has 3 more angles than the other figure.what shapes could she have drawn?
    11·1 answer
  • F divided by 1/4 for f =2/9<br> Please help FAST<br> ASAP
    6·2 answers
  • Question 4 (1 point)
    5·1 answer
  • Put the following statements into order to prove that if 3n+4 is even then n is even. Put N next to the 3 statements that should
    6·1 answer
  • (Photo) Please help mee
    6·2 answers
  • When making a book cover, Anwar adds an additional 20 sqaure inches to the surface area to allow for overlap. How many square in
    9·2 answers
  • A customer at the mall is shopping for holiday gifts, and is considering having them wrapped. He can get them wrapped at the dep
    8·1 answer
  • Who knows scientific notation ?????????
    10·2 answers
  • Determine the domain and the range for this relationship
    12·1 answer
  • PLZ HELP!! NEED QUICKLY!!<br> Fill In The Blanks!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!