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1 year ago

Write the slope intercept form of the equation of the line that passes through the point (4, 8) and has a slope of -2.

Mathematics

1 answer:

zhuklara [117]1 year ago

8 0

The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through the point (4, 8) and has a slope of -2.

On comparing the standard equation:

y = mx + c

Here m is the slope of the line and c is the y-intercept.

m = -2

y = -2x + c

Plug x = 4 and y = 8

8 = -2(4) + c

c = 16

y = -2x + 16

Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

Learn more about the linear equation here:

brainly.com/question/11897796

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If df=78, de=5x-9, and ef=2x+10, find ef

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As e is point between df. So we can write df as
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As given df = 78 , de = 5x - 9 , ef = 2x + 10.

So we can write

78 = 5x - 9 + 2x + 10

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On subtracting 1 on booth side

78 - 1 = 7x +1 - 1

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On dividing both side by 7.

$\frac{77}{7} = \frac{7x}{7}$

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So x = 11.

So ef = 2x + 10 = 2*11 + 10 = 22 + 10 = 32

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