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

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, $x_{1} =0$    and    $y_{1}=4$

point2: (-7,0)    Where, $x_{2} =-7$    and    $y_{2} =0$

• Step2: write the formula of the slope:

$m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

• Step3: substitute the numbers in the formula:

$m=\frac{0-4}{-7-0}$

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

$m=\frac{-4}{-7}$

$=\frac{4}{7}$

• So the answer is:

C. 4/7

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

Answer 2

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