What is the slope of the line shown? There are two points shown, (-4,5),(8,-5). Show every step
To find the slope of a line, we use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Given the two points (-4,5) and (8,-5), we can calculate the change in y-coordinates and change in x-coordinates as follows:
Change in y-coordinates = y-coordinate of second point - y-coordinate of first point
= -5 - 5
= -10
Change in x-coordinates = x-coordinate of second point - x-coordinate of first point
= 8 - (-4)
= 12
Now, we can substitute these values into the formula for slope:
slope = (-10) / 12
Next, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 2:
slope = (-10) / 12
= -5 / 6
Therefore, the slope of the line shown is -5/6.
To find the slope of the line passing through the points (-4,5) and (8,-5), we can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Let's label the coordinates of the first point as (x1, y1) = (-4, 5) and the coordinates of the second point as (x2, y2) = (8, -5).
Substituting the values into the formula, we have:
m = (-5 - 5) / (8 - (-4))
Simplifying further:
m = (-5 - 5) / (8 + 4)
m = (-10) / 12
m = -5/6
Therefore, the slope of the line passing through the points (-4,5) and (8,-5) is -5/6.
To find the slope of a line, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Given the two points (-4, 5) and (8, -5), we can substitute the coordinates into the formula to calculate the slope.
Step 1: Identify the coordinates of the points:
Point 1: (x1, y1) = (-4, 5)
Point 2: (x2, y2) = (8, -5)
Step 2: Plug the coordinates into the slope formula:
slope = (y2 - y1) / (x2 - x1)
= (-5 - 5) / (8 - (-4))
= (-5 - 5) / (8 + 4)
= (-10) / 12
= -10/12
Step 3: Simplify the fraction:
The fraction -10/12 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
-10 ÷ 2 / 12 ÷ 2
= -5 / 6
Therefore, the slope of the line passing through the points (-4, 5) and (8, -5) is -5/6.