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Luba_88 [7]
3 years ago
6

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

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
5 0

Answer:

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

Step-by-step explanation:

hope it helps

tresset_1 [31]3 years ago
4 0

Answer:

The correct option is B.

Step-by-step 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=\frac{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=\frac{5}{2}x+b

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

(-29)=\frac{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=\frac{5}{2}x-14

Therefore the correct option is B.

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Answer:

a. Parallel

b. Not parallel

Step-by-step explanation:

Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.

a. y= 2x + 3                                                  y-2x=-3 becomes y = 2x - 3

m = 2                                                            m= 2

The slopes are the same so these are parallel lines.

b. 3x + y = 2 becomes y= -3x + 2               y = 1/3 x + 1/2

m = -3                                                          m= 1/3

The slopes are different so this is not parallel.

Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.

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