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Chapter 1: Q. 8 (page 40)

The lines y=2x+3and y=ax+5are parallel if a=_____.

Short Answer

Expert verified

The linesy=2x+3andy=ax+5are parallel ifa=2.

Step by step solution

01

Step 1. Given information.

We have two equation.

y=2x+3

y=ax+5

02

Step 2. Fill the blank.

As we know that parallel lines are two straight lines that never touch. Therefore, parallel lines have the same slope, but different y-intercept.

Compare the given two equation with slope-intercept form y=mx+b, we get:

m1=2m2=a

Since two lines are parallel, it follows:

m1=m22=aa=2

Therefore, the value ofais2.

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