Question

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

Answer 1

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

Explanation:

hope it helps

Answer 2

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.