Question

Plot the points P(7,10) and Q(-5,0) and R(2,-3) on a grid. Label all your axes and points on the graph.?

A) Find the equation of the line through the point P and parallel to the line segment QR

Answer 1

Step 1:

The points are .

Find the line segment .

Using two points form of a line equation is .

The points form of a line equation is

The slope of the line is .

The line equation of is .

Step 2:

Find the equation of line through the point and parallel to the line segment .

Using point - slope form of a line equation is .

Substitute and in the point - slope form.

The equation of line through the point and parallel to the line segment is .

Step 3:

Graph :

(1) Draw the coordinate axis.

(2) Plot the points .

(3) Draw the line segment of .

(4) Draw the line through the point .

Solution :

The equation of line through the point and parallel to the line segment is .