Question

Find the slope of the line passing through (6, - 1) and (7, 3). Let (x1 Y1) = (6, - 1) and (x2, Y2) = (7, 3). List the
coordinates, fill in the slope formula, and then simplify.
X1=
choose your answer...
x2=
choose your answer...
Y1 =
choose your answer...
Y2=
choose your answer...
Use the slope formula: slope
Y2–Y1
———
x2—x1
Slope =
type your answer...

Answer 1

X1:?
X2:?
Y1:?
Y2:?

Answer 2

To find the slope of the line passing through the points \((6, -1)\) and \((7, 3)\), we'll start by identifying the coordinates:

- \((x_1, y_1) = (6, -1)\)
- \((x_2, y_2) = (7, 3)\)

Now we can fill in the slope formula:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substituting the values into the formula:

- \(y_1 = -1\)
- \(y_2 = 3\)
- \(x_1 = 6\)
- \(x_2 = 7\)

Now, we can compute it step by step:

1. Calculate \(y_2 - y_1\):

\[
y_2 - y_1 = 3 - (-1) = 3 + 1 = 4
\]

2. Calculate \(x_2 - x_1\):

\[
x_2 - x_1 = 7 - 6 = 1
\]

3. Substitute these values into the slope formula:

\[
\text{slope} = \frac{4}{1}
\]

4. Simplify:

\[
\text{slope} = 4
\]

Thus, the slope of the line passing through the points \((6, -1)\) and \((7, 3)\) is \(4\).

Answer 3

Here are the values for \(X1\), \(X2\), \(Y1\), and \(Y2\):

- \(X1 = 6\)
- \(X2 = 7\)
- \(Y1 = -1\)
- \(Y2 = 3\)

If you need further assistance, feel free to ask!