Respuesta :
slope = [tex] \frac{8-2}{8-0} [/tex] = 3/4
Parallel line shares the same slope ..there 3/4
Answer : C
Parallel line shares the same slope ..there 3/4
Answer : C
The slope of a line parallel to Line C is [tex]\bold{\frac{3}{4}}[/tex]
The correct answer is an option (C)
What is the formula of the slope?
"The slope of the line passing through two points [tex](x_1,y_1),(x_2,y_2)[/tex] is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"
For given question,
Line C passes through points (0, 2) and (8, 8).
Let, [tex](x_1,y_1)=(0,2),(x_2,y_2)=(8,8)[/tex]
So, the slope of the line C is,
[tex]m=\frac{8-2}{8-0}\\\\ m=\frac{6}{8}\\\\ m=\frac{3}{4}[/tex]
The slope of the line C is [tex]\frac{3}{4}[/tex]
We know, the slope of the parallel lines is equal.
This means, the slope of any line which is parallel to the line C is [tex]\frac{3}{4}[/tex]
Therefore, the slope of a line parallel to Line C is [tex]\bold{\frac{3}{4}}[/tex]
The correct answer is an option (C)
Learn more about the slope here:
https://brainly.com/question/3605446
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