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Chapter 3: Q 192. (page 293)

In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form.

(-2,1)and(-2,-4)

Short Answer

Expert verified

Equation of line is:x=-2

No slope-intercept form.

Step by step solution

01

Step 1. Given Data

Points:(-2,1)and(-2,-4)

02

Step 2. Finding the slope using given points

The slope of the line through (-2,1)and(-2,-4):

m=y2-y1x2-x1(1)where,y2=-4y1=1x2=-2x1=-2Puttingvaluesin(1),wegetm=-4-1-2-(-2)=-5-2+2=-50Theslopeisundefined.

03

Step 3. Equation of the line. 

Since the Slope is undefined which means it is a vertical line.

Both of the points have an x-coordinate of -2.

So, our equation of a line is:x=-2

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Most popular questions from this chapter

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.
(-2,1),(-3,-1),(4,-4),(-4,4),(-4,32)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=5.

Use the slope formula to find the slope of the line between each pair of points.

-2,-1,6,5.

Find the intercepts of the equation3x-2y=12.

In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

(5, 2) and (-1, 2)
See all solutions

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