Line m passes through the points (2, -7) and (4, -9) line m is parallel to which line

The two lines are parallel when the slope of both the lines is the same. So, the line parallel to the line 'm' is the line whose slope is -1 and this can be determined by using the slope-intercept form.

Given :

Line m passes through the points (2, -7) and (4, -9).

To determine that line 'm' is parallel to which line, first, find the equation of line 'm' using a point-slope form of the line. The point-slope form is given by the equation:

  ----- (1)

where and are the points on the line 'm'.

Now, put the values of and in the equation (1).

y + 7 = -x + 2

y = -x - 5   ---- (2)

Now, using a slope-intercept form which is given by the equation:

y = mx + c   ---- (3)

Now comparing equation (2) and (3) to find the slope and y-intercept.

m = -1

c = -5

The two lines are parallel when the slope of both the lines is the same. So, the line parallel to the line 'm' is the line whose slope is -1.

For more information, refer to the link given below:

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The Answer is: The slope is -1, so any line with the same slope is parallel.

Step-by-step explanation:

Given points (2, -7) and (4, -9) find the slope, m:

m = y - y1 / (x - x1)

m = -7 - (-9)/(2 - 4)

m = -7 + 9/-2

m = 2/-2

m = -1

A parallel line is any line with the same slope which is -1.

Hope this helps! Have an Awesome day!!  :-)