Question

Which of the following is the point and slope of the equation y - 3 = (x - 5)?

Answer 1

ANSWER:  

The slope of the given line y - 3 = (x - 5) is 1 and (5, 3) is a point on that line.

SOLUTION:

Given, line equation is y – 3 = (x – 5)

We have to find the slope of the given equation along with a point on that line.

Now, if we observe, the given equation is in point slope form $y-y_{1}=m\left(x-x_{1}\right)$

Where, m is the slope of the line and $\left(x_{1}, y_{1}\right)$ is a point on the line.

Now by comparison of the two equations we can conclude that,

$\mathrm{m}=1 , x_{1}=5 \text { and } y_{1}=3$

So, the point on the given line is (5, 3).

Hence, the slope of the given line is 1 and (5, 3) is a point on that line.