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hello! can anyone explain to me how to solve this problem step by step?

Hello Can Anyone Explain To Me How To Solve This Problem Step By Step class=

Sagot :

From the given graph, the coordinates of the four points are A(-4,-2), B(4,4), C(0,-3) and D(4,0).

Find the equation of the line joining A and B using the two point formula.

[tex]\begin{gathered} y-(-2)=\frac{4-(-2)}{4-(-4)}(x_{}-(-4)) \\ y+2=\frac{6}{8}(x+4) \\ y=\frac{3}{4}x+\frac{3}{4}\cdot4-2 \\ y=\frac{3}{4}x+1 \end{gathered}[/tex]

Find the equation of the line joining C and D using the two point formula.

[tex]\begin{gathered} (y-(-3))=\frac{0-(-3)}{4-0}(x-0) \\ y+3=\frac{3}{4}x \\ y=\frac{3}{4}x-3 \end{gathered}[/tex]

The equation of the line is in the form y = mx+c, where m is the slope and c is the y-intercept.

Here:

Slope of the line joining A and B = 3/4

Slope of the line joining C and D = 3/4

So, the lines are parallel because their slopes are equal.

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