Find the slope of the line given its graph.

Question

coordinates are (-6, 2) and (-4, 6)

Answer 1

To find the slope of the line given two points, you can use the formula for the slope \( m \):

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

Given the coordinates \((-6, 2)\) and \((-4, 6)\), we can assign the points as follows:

• \((x_1, y_1) = (-6, 2)\)
• \((x_2, y_2) = (-4, 6)\)

Now, substitute these values into the slope formula:

\[ m = \frac{6 - 2}{-4 - (-6)} \]

Calculate the numerator:

\[ 6 - 2 = 4 \]

Calculate the denominator:

\[ -4 - (-6) = -4 + 6 = 2 \]

Now substitute these results back into the slope formula:

\[ m = \frac{4}{2} = 2 \]

Thus, the slope of the line is \( \boxed{2} \).

Answer 2

Find the slope of the line given its graph.

coordinates are (1,-1) and (0, 2)

Answer 3

To find the slope of the line given the two points (1, -1) and (0, 2), you can use the slope formula:

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

Assign the coordinates as follows:

• \((x_1, y_1) = (1, -1)\)
• \((x_2, y_2) = (0, 2)\)

Now, substitute these values into the slope formula:

\[ m = \frac{2 - (-1)}{0 - 1} \]

Calculate the numerator:

\[ 2 - (-1) = 2 + 1 = 3 \]

Calculate the denominator:

\[ 0 - 1 = -1 \]

Now substitute these results back into the slope formula:

\[ m = \frac{3}{-1} = -3 \]

Thus, the slope of the line is \( \boxed{-3} \).

Answer 4

Find the slope of the line given its graph.
-1/2
1/2
4
2

Answer 5

It appears that you've provided a list of numbers rather than specific coordinates or points. To find the slope of a line, we need two points in the format of \((x_1, y_1)\) and \((x_2, y_2)\).

If you can provide points in that format or clarify the context of the numbers you've provided (e.g., are they coordinates?), I'd be happy to help you calculate the slope of the line!

Answer 6

Find the slope of the line given its graph.
-1/2
1/2
4
2
coordinates are (0, 4) and (-8, 0)

Answer 7

To find the slope of the line given the points \((0, 4)\) and \((-8, 0)\), we can use the slope formula:

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

Assign the coordinates:

• \((x_1, y_1) = (0, 4)\)
• \((x_2, y_2) = (-8, 0)\)

Now substitute these values into the slope formula:

\[ m = \frac{0 - 4}{-8 - 0} \]

Calculate the numerator:

\[ 0 - 4 = -4 \]

Calculate the denominator:

\[ -8 - 0 = -8 \]

Now substitute these results back into the slope formula:

\[ m = \frac{-4}{-8} = \frac{1}{2} \]

Thus, the slope of the line is \( \boxed{\frac{1}{2}} \).

Answer 8

Find the slope of the line given its graph.
-1/8
8
1/8
1
coordinates are (4, 8) and (-4, 7)

Answer 9

To find the slope of the line given the points \((4, 8)\) and \((-4, 7)\), we can use the slope formula:

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

Assign the coordinates:

• \((x_1, y_1) = (4, 8)\)
• \((x_2, y_2) = (-4, 7)\)

Now substitute these values into the slope formula:

\[ m = \frac{7 - 8}{-4 - 4} \]

Calculate the numerator:

\[ 7 - 8 = -1 \]

Calculate the denominator:

\[ -4 - 4 = -8 \]

Now substitute these results back into the slope formula:

\[ m = \frac{-1}{-8} = \frac{1}{8} \]

Thus, the slope of the line is \( \boxed{\frac{1}{8}} \).

Answer 10

Find the slope of the line given its graph.
-1
1
-5
-5/6
coordinates are (2, -4) and (-3, 1)

Answer 11

To find the slope of the line given the points \((2, -4)\) and \((-3, 1)\), we can use the slope formula:

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

Assign the coordinates:

• \((x_1, y_1) = (2, -4)\)
• \((x_2, y_2) = (-3, 1)\)

Now substitute these values into the slope formula:

\[ m = \frac{1 - (-4)}{-3 - 2} \]

Calculate the numerator:

\[ 1 - (-4) = 1 + 4 = 5 \]

Calculate the denominator:

\[ -3 - 2 = -5 \]

Now substitute these results into the slope formula:

\[ m = \frac{5}{-5} = -1 \]

Thus, the slope of the line is \( \boxed{-1} \).