Question

Find the slope of the line passing through the points (6, -5) and (-4, 3)

Looking at the first ordered pair, (6, -5):
X^1=
Y^1=
-5, 6



Looking at the second ordered pair, (-4, 3):

X^2=
Y^2=
3, -4



Substituting the coordinates into the slope formula, we'll get_______

Answer 1

To find the slope of the line passing through the points \((6, -5)\) and \((-4, 3)\), we can use the slope formula:

\[
m = \frac{Y^2 - Y^1}{X^2 - X^1}
\]

From the first ordered pair \((6, -5)\):
- \(X^1 = 6\)
- \(Y^1 = -5\)

From the second ordered pair \((-4, 3)\):
- \(X^2 = -4\)
- \(Y^2 = 3\)

Now we can substitute the coordinates into the slope formula:

\[
m = \frac{3 - (-5)}{-4 - 6}
\]

This simplifies to:

\[
m = \frac{3 + 5}{-4 - 6} = \frac{8}{-10} = -\frac{4}{5}
\]

So, the slope of the line passing through the points \((6, -5)\) and \((-4, 3)\) is \(-\frac{4}{5}\).