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Chapter 13: Q. 17 (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.

17. P(-3, 0); slope =25.

Short Answer

Expert verified

The sketch is:

The equation of line is5y鈭�2x=6and the other two points on the line are

0,65and1,85

Step by step solution

01

Step-1 – Given

The given coordinate and slope of the point is:P鈭�3,0;slope=25 .

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, where m is the slope of the line.

Here,P鈭�3,0;slope=25 .

So,

y鈭�0=25x鈭�鈭�35y=2x+65y鈭�2x=6

Then we sketch the line5y鈭�2x=6 .

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

Plug x = 0

5y鈭�2x=65y鈭�20=6y=65

Plug x = 1

5y鈭�2x=65y鈭�21=6y=85

So, the equation of line is 5y鈭�2x=6and the other two points on the line are0,65and1,85

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Most popular questions from this chapter

Find the slope and length of AB.

A(3, -1), B(5, -7)

What is the x-coordinate of every point that lies on a vertical line through C?

Find the center and radius of each circle.

x鈭�j2+y+142=17

Find the coordinates of the point that is equidistant from (-2, 5), (8, 5), and (6, 7).

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.
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