Question

A line’s equation is given in point-slope form:

y−13=5(x−3)

This line’s slope is

.

A point on this line that is apparent from the given equation is

Answer 1

Slope: 5

Point:
`(3,13)`

Explanation:

We have been given that a line's equation is point-slope form
`y-13=5(x-3)`. We are asked to find the slope of the line and a point on this line that is apparent from the given equation.

We know that point-slope form of an equation is in form
`(y-y_1)=m(x-x_1)`, where

m = Slope of line,

`(x_1,y_1)` = Coordinates of points the is on the line.

Upon looking at our given equation, we can see that
`m=5`, therefore, the slope of the line is 5.

We can also see that
`x_1=3\text{ and }y_1=13`, therefore, point
`(3,13)` is one the given line that is apparent from the given equation.