Question

SECTION - A
questions.
wo marks.
elope of the line passing through
ght line passing through (2,5) and (x,3) is 2 ​

Answer 1

Answer:

x=1

Step-by-step explanation:

Remember, slope formula is: $\frac{y_{1} - y_{2}}{x_{1}-x{2}}$.

To start, we have two y values so therefore, first, subtract the two y values. 5-3=2. This will make our slope formula look like this: $\frac{2}{x_{1}-x{2}}$, because after subtracting the y values, we ended up with the value of the top of the fraction (remember, slope is always rise-over-run/y's-over-x's). We need to make the x values equal a certain number to make the slope equal to 2. In this situation, after subtracting the x values, we should get 1 (because $\frac{2}{1}$ = 2). Therefore, 2-x (as we are subtracting the values from the left coordinate to the right coordinate) must equal 1.

Solve the equation:

$2-x=1\\ -x=-1\\x=1$

Therefore, the answer to this problem is x=1