Question

Which of these points lies on the line described by the equation below y-3=5(x-9)

Answer 1

(9,3) is the answer because in point slope form what x and y and subtrating from is the point it lies on

Answer 2

(9,3)

Explanation:

We have been given an equation of a line
`y-3=5(x-9)` and we are asked to find the point that lies on our given line.

Since we know that point-slope form equation of a line is:
`(y-y_1)=m(x-x_1)`, where,

m = The slope of the line.

`(x_1,y_1)` = The coordinates of given point on the line.

Since our given equation is in point-slope form, so x-coordinate of our given point is 9 and y-coordinate of our given point is 3.

Therefore, point (9,3) lies on the line described by our given equation.