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Burka [1]
3 years ago
10

What is the equation of the line containing (4,-2) , (6,4)

Mathematics
2 answers:
AnnyKZ [126]3 years ago
4 0
4,12 , 6,4 containing
Radda [10]3 years ago
3 0

Answer:

Step-by-step explanation:

To find the slope it is: change in y/change in x

or

y_1 - y_2/x_1 - x_2. It can also be the variable sub 2, minus sub 1.

For this it is:

-2-4/4-6

-6/-2

3

m = 3

Slope intercept form is y = mx+b. Now we can sub in m. y = 3x+b.

To find b, sub in numbers from one of the points for x and y. I'm going to use (4,-2). Since in this case, -2 = y, and 4 = x, then those are the numbers I'm going to replace x and y with.

-2 = 3(4) +b

-2 = 12+b

-14=b

If -14 = b, and 3 = m, then your equation is y = 3x-14

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Amy is training for a half marathon. in practice, she runs 2 miles in 15 minutes. If she continues at the same rate, how many mi
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Step-by-step explanation:

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Stella graphs the equation y=1/3x – 2
faltersainse [42]

we have

y=\frac{1}{3}x-2

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

0=-2 ------> is not true

the point (0,0) is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point  (0,-2)

The statement is True

Because the point (0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation

-2=\frac{1}{3}*0-2

-2=-2 ------> is true

the point (0,-2) is a solution

therefore

The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

The statement is False

Because, the slope of the line is m=\frac{1}{3}

<u>case E)</u> The y-intercept of the line is 2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


5 0
4 years ago
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