Chapter 1.1, Problem 6E

To determine

Find the coordinate of the point on the line whose equation in point − slope form is $y-(-1)=\frac{1}{4}(x-8)$ .

Answer to Problem 6E

The coordinate of the points on the line are $(0,-3)and(12,0)$ .

Explanation of Solution

Given:

It is given in the question that the equation is $y-(-1)=\frac{1}{4}(x-8)$ .

Concept Used:

In this we have to use the concept of graph analysis and finding the points by doing graph with the equation.

Use a graphing utility to graph the line on a plane. Then, pick any $2$ points on the line, such as the points shown.

  

In the above graph it is clearly found that the two points $(0,-3)and(12,0)$ .

Conclusion:

The points are $(0,-3)and(12,0)$ .