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2 years ago

What is the slope of a line that is perpendicular to the line y = x + 5? –2 -1/2 1/2 2

Mathematics

1 answer:

Sliva [168]2 years ago

7 0

y = x + 5

If it's perpendicular the slope is the opposite inverse of the other line,

The slope of line y = x + 5 is 1, because it's the number before x, so, the opposite inverse would be -1/1 = -1.

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Find the equation of the line through (6,8) which is parallel to the line y=4x−6.

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Answer:

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Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

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4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into $y=mx+b$ :

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$y=4x+b$

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$8=4(6)+b\\8=24+b$

Subtract 24 from both sides to isolate b

$8-24=24+b-24\\-16=b$

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I hope this helps!

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2 years ago