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

The correct option is B.

Step-by-step explanation:

The slope intercept form of a line is

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

The given equation is

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

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

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

Therefore the correct option is B.

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