Question

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

Answer 1

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

`(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
`(4-7)/(-3-1)`

=
`(3)/(4)`

therefore all the lines which has slope
`(3)/(4)` will be parallel to given line

Answer 2

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.