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Chapter 3: Q 2. (page 143)

Find an equation of the line containing the points (1,4)and (3,8).

Short Answer

Expert verified

The equation of the line is y=2x+2.

Step by step solution

01

Step 1. Given information

The line containing the points (1,4)and (3,8).

02

Step 2. Find the equation of the line that contain the given points.

The Point-Slope formula with point (x1,y1)and the slope mis given by y-y1=m(x-x1), where mis given by m=y2-y1x2-x1.

Consider the two points as follows:

(x1,y1)=(1,4)(x2,y2)=(3,8)

Find the slope.

m=y2-y1x2-x1=8-43-1=42=2

Thus, the slope is 2.

03

Step 3. Apply the Point-Slope formula to find the equation.

Substitute the value of the point (x1,y1)and the slope into the Point-Slope formula.

y-4=2(x-1)y-4=2x-2y=2x-2+4y=2x+2

Hence, the equation is y=2x+2.

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Most popular questions from this chapter

In Problems 4 and 5, determine whether the function is linear or nonlinear. If the function is linear, find the equation of the line.

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Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

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