Question

If the slope of line is (5,-2) and (k,6) is 2 then find k value

Answer 1

Question:

If the slope of line passing through the points (5, -2) and (k, 6) is 2, then find the value of k.

Answer:

k = 9

Step-by-step explanation:

First we have to know that what is meant by the slope of a line.

"The slope of the line is the ratio of difference of y coordinates of two points through which the line passes, to the difference of their x coordinates.It is denoted by the letter 'm'."

In this question, there is a line which passes through two points (5, -2) and (k, 6) of which the slope is 2. The question is to find the x coordinate of the point (k, 6), i.e., k. Writing down the slope...,

$\displaystyle Slope=2 \\ \\ \\ \frac{Difference\ of\ y\ coordinates}{Difference\ of\ x\ coordinates}=2 \\ \\ \\ \frac{6 - (-2)}{k-5}=2 \\ \\ \\ \frac{6+2}{k-5}=2 \\ \\ \\ \frac{8}{k-5}=2 \\ \\ \\ 8=2(k-5) \\ \\ 8=2k-10 \\ \\ 2k=8+10 \\ \\ 2k=18 \\ \\ k=\frac{18}{2} \\ \\ k=\bold{9}$

Thus we get the answer that k = 9.

Answer 2

Answer:

k=9%^€_ when it has slope