Question

a line passes through the points A(n,9) and B(12,16) and is parallel to y = 2x-5. What is the value of n? n =​

Answer 1

Answer: n=8.5

Explanation:

The lines are parallel, so they have the same slope=2

`\displaystyle\\\boxed {The\ slope=(y_2-y_1)/(x_2-x_1) }`

`x_1=n\ \ \ \ x_2=12\ \ \ \ y_1=9\ \ \ \ y_2=16`

`\displaystyle\\2=(16-9)/(12-n) \\\\2=(7)/(12-n) \\`

Multiply both parts of the equation by (12-n):

`2(12-n)=7\\2(12)-2(n)=7\\24-2n=7\\24-2n+2n=7+2n\\24=7+2n\\24-7=7+2n-7\\17=2n`

Divide both parts of the equation by 2:

`8.5=n`

Thus, n=8.5