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Chapter 13: Q. 19 (page 533)

In Exercises 16-19 a point P on a line and the slope of the line are given. Sketch the line and find the coordinates of two other points on the line.

P(0, -5); slope =鈭�14.

Short Answer

Expert verified

The sketch is:

The equation of line isx+4y=鈭�20 and the other two points on the line are 0,鈭�5and4,鈭�6.

Step by step solution

01

Step-1 – Given

The given coordinate and slope of the point is: P0,鈭�5;slope=鈭�14.

02

Step-2 – To determine

We have to sketch the line and find the coordinates of two other points on the line.

03

Step-3 – Calculation 

We鈥檒l use the point-slope formula.

y鈭�y1=mx鈭�x1, wherem is the slope of the line.

Here,P0,鈭�5;slope=鈭�14.

So,

y鈭�鈭�5=鈭�14x鈭�04y+20=鈭�xx+4y=鈭�20

Then we sketch the linex+4y=鈭�20.

Now we use hit and trial method to get the other two points.

Plug x = 0

x+4y=鈭�200+4y=鈭�20y=鈭�5

Plug x = 1

x+4y=鈭�204+4y=鈭�20y=鈭�6

So, the equation of line isx+4y=鈭�20 and the other two points on the line are0,鈭�5and4,鈭�6 .

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Most popular questions from this chapter

In Exercises 20 and 21 show that points P, Q, and R are collinear by showing that PQ and OR have the same slope.

P(-8, 6) Q(-5, 5) R(4, 2)

In Exercises 35-38 find an equation of the circle described and sketch the graph.

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