Find the slope of a line that passes through (-10, -1) and (5, -4)
A − 1/5
B 1/3
C 1
D -3
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the points are (-10, -1) and (5, -4), so we can substitute the coordinates into the formula:
slope = (-4 - (-1)) / (5 - (-10))
slope = (-4 + 1) / (5 + 10)
slope = -3 / 15
Simplified, the slope is -1/5.
Therefore, the correct answer is A) -1/5.
To find the slope of a line, you can use the formula:
slope = (change in y) / (change in x)
In this case, the points (-10, -1) and (5, -4) give us the coordinates (x1, y1) = (-10, -1) and (x2, y2) = (5, -4), respectively.
Now, we can calculate the change in y and change in x:
change in y = y2 - y1 = -4 - (-1) = -4 + 1 = -3
change in x = x2 - x1 = 5 - (-10) = 5 + 10 = 15
Substituting the values into the slope formula:
slope = (-3) / (15) = -1/5
Therefore, the slope of the line passing through (-10, -1) and (5, -4) is:
A) -1/5
To find the slope of a line that passes through two given points, you can use the slope formula:
slope (m) = (y2 - y1) / (x2 - x1)
In this case, the given points are (-10, -1) and (5, -4).
Let's assign the coordinates of the first point as (x1, y1) = (-10, -1) and the second point as (x2, y2) = (5, -4).
Now we can substitute the values into the slope formula:
slope (m) = (-4 - (-1)) / (5 - (-10))
= (-4 + 1) / (5 + 10)
= -3 / 15
= -1/5
Therefore, the slope of the line that passes through (-10, -1) and (5, -4) is -1/5.
Hence, the correct option is A) -1/5.