Find the slope of the line that contains the two points (3,2) and (1,-4).

m = - 3
m = - 1/3 <-- ?
m = 3
m = 1/3

Find the slope of the line that contains the points (-2, 4) and (-4, 6).

m = -1
m = 1 <--
m = - 1/3
m = 1/3

Find the equation of the line that passes through the points (7,4) and (-5,-2)?

y=1/2x-1/2
y=-1/2x-1/2
y=-1/2x+1/2<--
y=1/2x+1/2

Find the equation of the line that passes through the points (1,4) and (2,-8).

y = -3x + 9
y = 6x + 5
y = -12x + 16
y = 12x - 8 <---

see your earlier post

Thank you! im sorry.

No problem. I was just working on it when you reposted.

It had been almost two hours, and your posting was working its way down the page to obscurity, so it was understandable.

The nuisances are people who repost every five minutes and expect someone to be monitoring their every keystroke...

To find the slope of a line passing through two points, you can use the formula:

m = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Let's solve the first question:
The two points given are (3,2) and (1,-4).
Substituting the values into the formula, we get:
m = (-4 - 2) / (1 - 3) = -6 / (-2) = 3.

Therefore, the slope of the line passing through the points (3,2) and (1,-4) is 3.

For the second question:
The two points given are (-2, 4) and (-4, 6).
Substituting the values into the formula, we get:
m = (6 - 4) / (-4 - (-2)) = 2 / (-2) = -1.

Therefore, the slope of the line passing through the points (-2, 4) and (-4, 6) is -1.

Moving on to the third question:
The two points given are (7,4) and (-5,-2).
Substituting the values into the formula, we get:
m = (-2 - 4) / (-5 - 7) = -6 / (-12) = 1/2.

Therefore, the slope of the line passing through the points (7,4) and (-5,-2) is 1/2.

Finally, for the fourth question:
The two points given are (1,4) and (2,-8).
Substituting the values into the formula, we get:
m = (-8 - 4) / (2 - 1) = -12 / 1 = -12.

Therefore, the slope of the line passing through the points (1,4) and (2,-8) is -12.

Note: The answer options provided seem to be incorrect for some of the questions. Always double-check your work, as well as the options provided, to ensure accuracy.