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3 years ago

What is the equation of the following line written in general form? (The y-intercept is 7.)

Mathematics

1 answer:

Viktor [21]3 years ago

4 0

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:

$1=-2m+7$ <em>subtract 7 from both sides</em>

$-6=-2m$ <em>divide both sides by (-2)</em>

$3=m\to m=3$

We have the equation:

$y=3x+7$

Convert it to the general form $Ax+By+C=0$ :

$y=3x+7$ <em>subtract 3x and 7 from both sides</em>

$-3x+y-7=0$ <em>change the signs</em>

$3x-y+7=0$

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Answer:

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Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

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3 years ago

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