Lines p, q, and r all pass through point (-3,4). line p has slope 4 and is perpendicular to line q. line r passes through quadrants 1 and quadrants 2 only. write an equation for each line. then graph the three lines on the same coordinate plane.

Part 1) The equation of line p is

Part 2) The equation of line q is

Part 3) The equation of line r is

The graph in the attached figure

Step-by-step explanation:

step 1

Find the equation of the line p

we have

Find the equation in point slope form

substitute

----> equation in point slope form

Convert to slope intercept form

step 2

Find the equation of line q

we know that

If two lines are perpendicular, then their slope are opposite reciprocal (the product of their slopes is equal to -1)

we have that

Line q is perpendicular to line q

so

we have

therefore

we have

Find the equation in point slope form

substitute

----> equation in point slope form

Convert to slope intercept form

step 3

Find the equation of line r

we know that

Line r passes through Quadrants 1 and Quadrants 2 only and passes through the point (-3,4)

therefore

The equation of Line r must be equal to the y-coordinate of the given point

----> is a horizontal line

step 4

Graph the three lines

using a graphing tool

see the attached figure

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