What is the slope of the line passing through the points (−1, 3) and (4, −7)?
Responses
−2
negative 2
−43
negative 4 over 3
2
2
34
The slope of the line passing through the points (-1, 3) and (4, -7) can be found using the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
Substituting the coordinates of the given points, we have:
m = (-7 - 3)/(4 - (-1))
m = (-7 - 3)/(4 + 1)
m = (-10)/(5)
m = -2
Therefore, the slope of the line is -2 or negative 2.
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's substitute the given values into the formula:
(x1, y1) = (-1, 3)
(x2, y2) = (4, -7)
slope = (-7 - 3) / (4 - (-1))
slope = (-7 - 3) / (4 + 1)
slope = (-10) / (5)
slope = -2
Therefore, the slope of the line passing through the points (-1, 3) and (4, -7) is -2.
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the coordinates of the first point are (-1, 3), and the coordinates of the second point are (4, -7).
Plugging in these values into the formula, we get:
slope = (-7 - 3) / (4 - (-1))
= (-10) / (4 + 1)
= -10 / 5
= -2
So, the slope of the line passing through the points (-1, 3) and (4, -7) is -2. Therefore, the correct response is:
-2
negative 2