Find the value of k so that the graph of 21y+kx=4 and the line containing the point 5,-8 adn 2,4 are parallel.

Ciara Rose

Ciara Rose

Answered question

2022-07-26

Find the value of k so that the graph of 21y+kx=4 and the line containing the point 5,-8 adn 2,4 are parallel.

Answer & Explanation

kamphundg4

kamphundg4

Beginner2022-07-27Added 20 answers

what you would have to do is find the slope of the linecontaining the points (5,-8) and (2,4).
so that would be:
m = ( y 2 y 1 ) ÷ ( x 2 x 1 ) = ( 4 ( 8 ) ) / ( 2 5 ) = 4
since it is parallel to the given equation of the line, thenthey would have the same slope.
k= -4 and your equation would be:
21y-4x= 4

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