What is the slope passing through (2,-7),(4,-4)?

Answer 1

Okay. Other than graphing and counting, the easiest way to do this is the "picnic table" way- you find the difference between the two points, with y's over x's (for rise over run, which is how slope is formatted).

The equation looks like this (the parentheses mean subtext):
Y(1)-Y(2)
-------------
X(1)-X(2)

My teachers taught me to remember that the Y's go on top by saying "yummies on the picnic table"- Yummies for Y, and Picnic Table because the X's look like the legs of a table.

So in your equation, it would be:
-7-(-4)
---------
2-4
Subtracting the -4 makes it really just adding 4 to -7, so:
-3
----
-2
The negatives cancel out, so your final answer is, with m meaning slope:
m= 3/2.

Answer 2

The slope of a line is described as the rise over the run; usually written as either...
m = Δy / Δx
m = (y₂ - y₁) / (x₂ - x₁)
Where "m" is the slope, Delta (Δ) means "the change in"; and the coordinates (x₁ y₁) and (x₂ y₂) are two points on a line. Since we have two points [(2, -7) as #1 and (4, -4) as #2] we can plug them in to the formula and get our answer...
m = ((-4) - (-7)) / ((4) - (2))
m = -4+7 / 2
m = 3/2

Answer 3

You just want the slope or the whole equation?

Slope is derrived by using the slope formula

m = (y2 - y1)/(x2 - x1)
m = (-4 - (-7))/(4 - 2)
m = (-4 + 7) / (4 - 2)
m = 3/2

Slope = 3/2

Answer 4

3/2