Answered

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can Someone help me i still cant understand ,number 3

Can Someone Help Me I Still Cant Understand Number 3 class=

Sagot :

3)yes, the lines are parallel

Explanation

[tex]\begin{gathered} y=2x+5 \\ y=2x \end{gathered}[/tex]

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal

Step 1

check the slopes

when you have a equation of a line in the form

[tex]\begin{gathered} y=mx+b \\ it\text{ is called, slope intercetp form} \\ \text{where} \\ m\text{ is the slope} \\ \text{and b is the y intercept} \end{gathered}[/tex]

hence, for line 1

[tex]\begin{gathered} y=2x+5\rightarrow y=mx+b \\ so \\ m_1=2 \\ b=5 \end{gathered}[/tex]

now, for line 2

[tex]\begin{gathered} y=2x\rightarrow y=mx+b \\ so \\ m_2=2 \\ b_2=0 \end{gathered}[/tex]

Finally, compare the slopes

[tex]\begin{gathered} m_1=2 \\ m_2=2 \end{gathered}[/tex]

the slopes are equal so the lines are parallel

I hope this helps you

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