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dlinn [17]
3 years ago
6

Write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

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Someone help please! Determine the intercept of the line that passes through the following points ​
storchak [24]

Answer:

x: (-5.0)

y: (0, -17.5)

Step-by-step explanation:

The x-intercept of the line is when y=0. In the table is the point (-5,0). This is the x-intercept.

To find the y-intercept, find when x=0. Write an equation for the table in y=mx + b. Find the slope between two points first.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-0}{-7--5} =\frac{7}{-7+5}=-\frac{7}{2} = -3.5

The slope is -3.5. So the equation is

y - 7 = -3.5(x--7)

y - 7 = -3.5 (x+7)

y - 7 = -3.5x - 24.5

y = 3.5x - 17.5

Since it is in y=mx+b, b= -17.5 and this is the y-intercept.

5 0
3 years ago
4. Find the slope of the line through the points (-6, 4) and (8,-4). m =​
Aleksandr-060686 [28]

Answer: Hope it helps :)

<u>-4</u>

7

Step-by-step explanation:

You have to use the formula <u>y2-y1</u>

                                                x2-x1

So <u>-4-4</u>

     8--6

-4-4= -8

8--6= 14 (two negative signs become a positive sign)

You have -8 over 14

If you simplify it's -4/7 or <u>-4</u>

                                         7

4 0
2 years ago
Read 2 more answers
Which graph represents the following piecewise defined function?
kenny6666 [7]
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function

Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2

Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3


From the previous results the correct graph is the last as shown in attached graph.



5 0
3 years ago
Read 2 more answers
4. Three college friends rent an apartment. They are required to pay two months’ rent plus a $600 security deposit when they sig
Anni [7]

Answer:

3500$

Step-by-step explanation:

3800÷2-600=1300$

3 0
2 years ago
Write an equation in slope-intercept form for each line described.
Yuri [45]
B- Not sure if it's a line
C- y=(-x/2)-6
D- y=4x-12
E- y=(2/5)x-10
6 0
3 years ago
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