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hammer [34]
3 years ago
8

A diameter circle BC = 4 cm is given. Line (d) touches

Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

ffffghygggggyyggyvvhhhh

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What is the equation of the line in slope-intercept form that passes through point (4, 5) and is parallel to the line y = −2x −
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Answer:

y=-2x+13

Step-by-step explanation:

<u>Slope-intercept form</u> of a linear equation:

y=mx+b

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<u>Given equation</u>:

y=-2x-2

Therefore, comparing the given equation with the slope-intercept form:

  • slope (m) = -2
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The slopes of <u>parallel lines</u> are equal.

Therefore, the slope of the new line is -2.

Substitute the given point (4, 5) and the slope m = -2 into the slope-intercept formula and solve for b:

\implies y=mx+b

\implies 5=-2(4)+b

\implies 5=-8+b

\implies b=13

Finally, substitute the found values of m and b into the formula to create the equation of the line that passes through the given point and is parallel to the given line:

\implies y=-2x+13

Learn more about the slope-intercept form here:

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Step-by-step explanation:

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