Question

Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)

Answer 1

Since you have not given any choices to choose from there are a multitude of lines that would qualify as parallel to this line.  To find a parallel line, any line that has the same slope as this line that is not the exact same line will be parallel.  To find the slope, use the formula y2-y1/x2-x1.

4-7/-3-1

that simplifies to

-3/-4

then simplifying to

3/4

so any line that has a slope of 3/4 that is not the exact same line will be parallel to this line.

Answer 2

Answer:

Step-by-step explanation:

Two lines are said to be parallel if their slopes are same.

Here we have two points given (1,7) and (-3,4 )

slope of a line when two points are given is solved by formula

$\frac{y_2-y_1}{x_2-x_1} \\where ( x_1,y_1) and (x_2,y_2) are the points through which it passes$

therefore slope is  $\frac{4-7}{-3-1}$

                               = $\frac{3}{4}$

therefore all the lines which has slope $\frac{3}{4}$  will be parallel to given line