Circle the option that best describes the relationship between the 2 given lines

Question

Circle the option that best describes the relationship between the 2 given lines. y = 1/3 x + 5 and 3x + y = 74 y = -4x + 3/4 and y = 4-x + 3 y = -5x + 2 and y = 5x - 5 Give an equation that is parallel to y - 3/4x - 5 y = ___ x + ___ Give an equation that is perpendicular y = 6x + 4, y = ___ x + ___ Write an equation that is parallel to y = 7x + 1 and passes through the point (1, 6)? Write an equation that is perpendicular to y -1/3 x - 6 and passes through the point (6-1)? Which of the following is true about triangle ABC A) It is a right triangle since AG = 5, BC = 3, and AB = 4 B) It is right triangle since AB is perpendicular to BC C) It is not right triangle since no pair of slopes is the same. D) It is not a right triangle since no pair of slopes has a product of -1

Explanation / Answer

10)

Find the slope of line y=(3/4)x -5 , comparing with y=mx+b as

m=3/4

Any line paralllel to the given line will have same slope 3/4, so one of possible answer is

y= (3/4)x +5

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Find the slope of line y=6x+4 , comparing with y=mx+b as

m=6

Any line peropendicular to the given line will have slope NEGATIVE RECIPROCAL OF 6, so slope of perpendicular line will be(take reciprocal and place a negative sign in front)

m= -1/6

so one of possible answer is

y= (-1/6)x +5

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Note that here slope only matters (will it be same or negative reciptocal), not the constant term we are adding at end, it can be any number.

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