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Write an equation for the line that is parallel to the given line and that passes through the given point.

y equals five halves x minus 10; the point negative 6, negative 29


A. y equals five halves x plus one hundred thirty three halves

B. y equals five halves x minus 14

C. y equals two fifths x minus 14

D. y equals negative two fives x plus 14

2 Answers

3 votes

Answer:

the answer is B. y equals five halves x minus 14

Explanation:

hope it helps

User Gordak
by
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1 vote

Answer:

The correct option is B.

Explanation:

The slope intercept form of a line is


y=mx+b

where, m is slope and b is y-intercept.

The given equation is


y=(5)/(2)x-10

It means the slope of the line is 5/2 and y-intercept is -10.

The slope of two parallel lines is same. So, the slope of required line is 5/2.

The equation of required line is


y=(5)/(2)x+b

It is given that the line passes through the point (-6,-29).


(-29)=(5)/(2)(-6)+b


-29=-15+b


-29+15=+b


-14=b

The y-intercept of required line is -14. So the equation of required line is


y=(5)/(2)x-14

Therefore the correct option is B.

User Simon Adcock
by
8.1k points

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