christianfergomez christianfergomez
  • 20-10-2022
  • Mathematics
contestada

10. Find the value of k such that the line through (5, 1) and (k, 7) is parallel to the line
y = 3x.

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 20-10-2022

Answer:

k = 7

Step-by-step explanation:

y = 3x

The slope is 3

Parallel lines have the same slope so a line parallel will have a slope of 3

Using the slope formula

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

3 = ( 7-1)/(k-5)

3 = 6/(k-5)

Multiply each side by k-5)

3 * (k-5) = 6

Divide each side by 3

k-5 = 6/3

k-5 = 2

Add 5 to each side

k = 7

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