Question

What is the slope of a line parallel to line A?

A. -4/7
B. -7/4
C. 4/7
D. 7/4

Answer 1

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

Answer 2

The answer is C.4/7

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,
`x_(1) =0` and
`y_(1)=4`

point2: (-7,0) Where,
`x_(2) =-7` and
`y_(2) =0`

• Step2: write the formula of the slope:

`m=(y_(2)-y_(1) )/(x_(2) -x_(1) )`

• Step3: substitute the numbers in the formula:

`m=(0-4)/(-7-0)`

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

`m=(-4)/(-7)`

`=(4)/(7)`

• So the answer is:

C. 4/7

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