Question

Are these two lines parallel?y = = + 5=4X| 04 | 8 |12y 1 2 3 4

Answer 1

We are required to determine if the two lines are parallel

Note that if two lines are parallel, they must have equal slope.

`\begin{gathered} For\text{ line y=}(x)/(4)+5 \\ y=(1)/(4)x+5 \\ The\text{ slope of this line = 1/4} \end{gathered}`

For the second line, calculate the slope

`\begin{gathered} Slope\text{ = }\frac{change\text{ in y}}{change\text{ in x}} \\ \\ Slope=(2-1)/(4-0) \\ Slope\text{ = }(1)/(4) \\ \end{gathered}`

Since the two lines have equal slopes (1/4) then they are parallel