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3 years ago

Can someone please answer the problem in the picture?

Mathematics

1 answer:

Elenna [48]3 years ago

8 0

Answer:

Rate of change is 6/7 Initial value: 6

Step-by-step explanation:

To find the slope (which is the rate of change), use (y1 - y2)/(x1 - x2).

x1 and y1 will be (0, 6)

x2 and y2 will be (7, 0)

Note that x1 x2 y1 y2 can be any points on the line, I just chose these because they were x and y-intercepts.

(6 - 0)/(0 - 7) = 6/7

The initial value is simply the y-intercept, which is 6.

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3 years ago

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Answer:

Step-by-step explanation:

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4 years ago

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What’s the distance ?

Aleksandr [31]

Answer:

$3$

Step-by-step explanation:

This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,

$(4,2), (5, 5)$

The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,

$D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}$

Substitute the endpoints of the line into the formula and solve for the distance between the points,

$D=\sqrt{(4-5)^2*(2-5)^2}$

Simplify, solve for the distance between the two points,

$D=\sqrt{(4-5)^2*(2-5)^2}$

$D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3$

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3 years ago