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ophelia370514
C. 4/7

Parallel lines have the same slope, so u must find the slope of line a
To find the slope you take two points and use the formula (y2-y1)/x2-x1
The two points given are (-7,0) and (0,4)
To figure it out fill in the formula with the points
Slope= 4-0/0-(-7)
=4/7
hajora03

Answer:

The answer is C.4/7

Step-by-step explanation:

First of all, parallel lines have the same gradient (slope), so if you find the slope for line A this will be the same slope as the line parallel to it (line A).

  • Step 1: find any two points from line A.

point 1: (0,4)    Where, [tex]x_{1} =0[/tex]    and    [tex]y_{1}=4[/tex]

point2: (-7,0)    Where, [tex]x_{2} =-7[/tex]    and    [tex]y_{2} =0[/tex]

  • Step2: write the formula of the slope:

[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

  • Step3: substitute the numbers in the formula:

[tex]m=\frac{0-4}{-7-0}[/tex]

  • Step4: simplify the formula to get the answer to the slope:

[tex]m=\frac{-4}{-7}[/tex]

[tex]=\frac{4}{7}[/tex]

  • So the answer is:

C. 4/7

(note: this is the slope of line A and any line parallel to line A)

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