Question

Can Someone help me i still cant understand ,number 3

Answer 1

3)yes, the lines are parallel

Step-by-step explanation

`\begin{gathered} y=2x+5 \\ y=2x \end{gathered}`

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

`\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}`

hence, for line 1

`\begin{gathered} y=2x+5\rightarrow y=mx+b \\ so \\ m_1=2 \\ b=5 \end{gathered}`

now, for line 2

`\begin{gathered} y=2x\rightarrow y=mx+b \\ so \\ m_2=2 \\ b_2=0 \end{gathered}`

Finally, compare the slopes

`\begin{gathered} m_1=2 \\ m_2=2 \end{gathered}`

the slopes are equal so the lines are parallel

I hope this helps you