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3 years ago

Graph the line y=−3x+b if it is known that the graph goes through point: B(5,2)

Mathematics

1 answer:

Nuetrik [128]3 years ago

5 0

Try this solution:

1. In order to built the line required in the condition it need to determine its equation.

Using the coordinates of point B (5;2), if to substitute them into the given equation: 2=-3*5+b, ⇒ b=17. It means, that the equation of the line required in the condition is y= -3x+17.

2. The graph is in the attachment; point (0;17) is the intersection point of Y-axis and the line.

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Step-by-step explanation:

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Answer:

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$\left(x,\:y\right)=\left(8,\:7\right)$

Step-by-step explanation:

Let (x, y) be the mid-point

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(10,5)

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Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

Here:

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Thus,

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

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$\left(x,\:y\right)=\left(8,\:7\right)$

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

$\left(x,\:y\right)=\left(8,\:7\right)$

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