Question

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

Answer 1

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.