Find the value of k so that the graph of 19y - kx and the line containing the points (5,-8) and (2,4) are parallel

-4/19

Explanation:

Here, we will use point-slop equation of the line to find the value of k

m = (y2 - y1)/(x2 - x1)

we can find the value of m using the points on the second line containing (5, -8) and (2,4)

               m  = (4 - (-8))/(2 - 5) = 12/(-3) = -4 (i)

we will convert the first line equation into sloper intercept form

                                       y = mx + c

                                       0 = 19y - kx

                                        19y = kx

                                         y = kx/19

                                         y = (k/19)*x

Here the m = k/19 and c = 0

Because the lines are parallel so their slop m would must be same.

Inserting the value of m of second line from the line (i)

                                   -4 = k/19

                                    k = -4/19

can someone answer this question plz

step-by-step explanation:

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step-by-step explanation: