Question

What is the point-slope form of a line with slope 3 that contains the point (2,1)

Answer 1

y-1=3(x-2)

Explanation:

The point-slope form of a line is

`y-y_(1) =m(x-x_(1) )`

where m denotes slope of line and
`(x_(1) ,y_(1) )` is a point on line.

From question statement,we observe that

m= 3 and
`(x_(1) ,y_(1) )`=(2,1)

putting above values in point-slope form of line,we get

y-1=3(x-2) is point slope form of a line with slope 3 that contains the point (2,1).

Answer 2

Point slope form:

The equation of line is given by:
`y-y_1=m(x-x_1)` .....[1]

where m is the slope and a line contains a point
`(x_1, y_1)`.

As per the given statement:

Slope(m) = 3

`(x_1, y_1)`. = (2, 1)

Substitute these in [1] we have;

`y-1=3(x-2)`

therefore, the point slope form of a line with slope 3 that contains the point (2, 1) is;
`y-1=3(x-2)`