Given:

It is given in the question that the coordinate and the slopes are (2,−3) and m=−12 .

Concept Used:

In this it has to be use the concept of point − slope form and the formula used is y−y1=m(x−x1) .

Calculation:

Now, use the (2,−3) and m=−12 .

By using the point − slope line equation ,put into (x1,y1) and the slope into m.

  y=m(x−x1)+y1y=−12(x−2)+(−3)2y =−x+2−6x+2y=−4

To graph the line we can calculate one other point at x=1

  2y=−(1)+2=−1y=−12

Now, plot the two points and draw a straight line through them.

Conclusion:

The equation is x+2y=−4 .