What is the slope of the line shown? Enter your answer and show all the steps that you used to solve the problem in order to get full credit. (-4,5) and(8,-5)
To find the slope of the line passing through the points (-4, 5) and (8, -5), we can use the formula:
slope = (y2 - y1) / (x2 - x1)
We have:
(x1, y1) = (-4, 5)
(x2, y2) = (8, -5)
Hence:
slope = (-5 - 5) / (8 - (-4))
= (-5 - 5) / (8 + 4)
= (-10) / 12
= -5/6
Therefore, the slope of the line is -5/6.
To find the slope of the line, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
First, let's label the coordinates given:
Point 1: (-4, 5)
Point 2: (8, -5)
Next, let's calculate the change in y-coordinates and change in x-coordinates:
Change in y-coordinates = y-coordinate of point 2 - y-coordinate of point 1
= -5 - 5
= -10
Change in x-coordinates = x-coordinate of point 2 - x-coordinate of point 1
= 8 - (-4)
= 8 + 4
= 12
Now, we can substitute the values into the slope formula:
slope = (change in y-coordinates) / (change in x-coordinates)
= (-10) / 12
= -10/12
The slope of the line is -10/12.
To find the slope of the line passing through the points (-4, 5) and (8, -5), we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Let's calculate step by step:
Step 1: Identify the coordinates of the two points.
Point 1: (-4, 5) (x1, y1)
Point 2: (8, -5) (x2, y2)
Step 2: Substitute the coordinates into the slope formula.
slope = (y2 - y1) / (x2 - x1)
= (-5 - 5) / (8 - (-4))
= (-5 - 5) / (8 + 4)
= (-10) / 12
Step 3: Simplify the fraction, if possible.
The greatest common divisor of 10 and 12 is 2. Divide both the numerator and denominator by 2.
slope = (-10) / 12
= (-5) / 6
Therefore, the slope of the line passing through the points (-4, 5) and (8, -5) is -5/6.