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A line through which two points would be parallel to a line with slope of 3/4? show your Work.

A Line Through Which Two Points Would Be Parallel To A Line With Slope Of 34 Show Your Work class=

Sagot :

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

a) (0,5) and (-4,2)

[tex]m=\frac{2-5}{-4-0}=\frac{-3}{-4}=\frac{3}{4}[/tex]

b) (4, 5) and (-8, 2)

[tex]m=\frac{2-5}{-8-4}=\frac{-3}{-12}=\frac{1}{4}[/tex]

c) (10, 3) and (18, 7)

[tex]m=\frac{7-3}{18-10}=\frac{4}{8}=\frac{1}{2}[/tex]

Two lines are parallel when they have the same slope, then the correct choice is a

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