What is the slope of the line passing through the points (0, 4) and (−8, −1)?
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the two points are (0, 4) and (-8, -1).
Substituting the values into the formula:
slope = (-1 - 4) / (-8 - 0)
= (-5) / (-8)
= 5/8
Therefore, the slope of the line passing through the points (0, 4) and (-8, -1) is 5/8.
To find the slope of the line passing through the points (0, 4) and (-8, -1), you can use the slope formula:
m = (y₂ - y₁) / (x₂ - x₁),
where (x₁, y₁) and (x₂, y₂) are the coordinates of the points.
Using the given points, we can substitute their values into the formula:
m = (-1 - 4) / (-8 - 0),
Simplifying further:
m = -5 / -8,
The negatives cancel out:
m = 5/8.
Therefore, the slope of the line passing through the points (0, 4) and (-8, -1) is 5/8.
To find the slope of the line passing through two points, you can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the points are (0, 4) and (-8, -1). Let's label the first point as (x1, y1) and the second point as (x2, y2).
So,
x1 = 0,
y1 = 4,
x2 = -8, and
y2 = -1.
Now substitute these values into the slope formula:
slope = (-1 - 4) / (-8 - 0)
Simplifying, we get:
slope = (-5) / (-8)
Dividing both the numerator and denominator by the greatest common divisor (which is 1 in this case), we have:
slope = 5/8
Therefore, the slope of the line passing through the points (0, 4) and (−8, −1) is 5/8.