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3 years ago

Line K has the equation 9x-4y=-5x4.

Mathematics

1 answer:

Yuki888 [10]3 years ago

5 0

Answer:

y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."

Step-by-step explanation:

A parallel line has the same slope as the reference line,

The reference line is 9x-4y = -5x4, as written. I'm not sure the 4 belongs, but I'll assume it is written correctly. I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20. I'll assume -20:

9x-4y = -20

Put the equation into standard slope-intercept form: Y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

-4y = -9x - 20

y = (9/4)x + 5

This line has a slope of (9/4). The parallel line will have the same slope.

y = (9/4)x + b

We can find a value of b that would shift this line to include (4,7) by using this point in the equation:

y = (9/4)x + b

7 = (9/4)(4) + b

7 = 9 + b

b = 2

The equation of a line parallel to the reference line is y = (9/4)x + 2

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