Chapter 5.4, Problem 1P

Write an equation of the line in point-slope form through the given point and with the given slope $m$

$(2,1);m=3$

To determine

To find: The equation of the line passing through $(2,1)$ and with the slope $m=3$ .

Answer to Problem 1P

The equation of the line in point-slope form is $y-1=3(x-1)$ .

Explanation of Solution

Given information:

The point is $(2,1)$ and the slope is $m=3$ .

Formula used:

The point-slope form of a line is given as

  $y-y_1=m(x-x_1)$

Using the given information, the point $(x_1,y_1)=(2,1)$ and the slope $m=3$

  $y-1=3(x-1)$

Conclusion:

Therefore, the equation of the line in point-slope form is $y-1=3(x-1)$ .