Answered

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

Are These Two Lines Parallely 54X 04 8 12y 1 2 3 4 class=

Sagot :

Solution:

We are required to determine if the two lines are parallel

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

[tex]\begin{gathered} For\text{ line y=}\frac{x}{4}+5 \\ y=\frac{1}{4}x+5 \\ The\text{ slope of this line = 1/4} \end{gathered}[/tex]

For the second line, calculate the slope

[tex]\begin{gathered} Slope\text{ = }\frac{change\text{ in y}}{change\text{ in x}} \\ \\ Slope=\frac{2-1}{4-0} \\ Slope\text{ = }\frac{1}{4} \\ \end{gathered}[/tex]

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

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