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natka813 [3]
2 years ago
12

Line q has a slope of 3. line r is parallel to line q. what is the slope of line r?

Mathematics
1 answer:
Misha Larkins [42]2 years ago
8 0

Answer:

998655

Step-by-step explanation:

yes

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What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)
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For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

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We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

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We substitute one of the points and find "b":

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Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

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