What is the slope of the line that passes through (3/5,-2)(-6,2/9)?
I don't even have a good guess at this one. Thanks.
What is the slope of the line that passes through (3/5,-2)(-6,2/9)?
I don't even have a good guess at this one. Thanks.
To find the slope of a line passing through two points, we can use the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
Here, the given points are (3/5, -2) and (-6, 2/9).
Let's assign the coordinates as follows:
x₁ = 3/5
y₁ = -2
x₂ = -6
y₂ = 2/9
Now, we can substitute these values into the slope formula:
slope = (2/9 - (-2)) / (-6 - 3/5)
To simplify the calculation, let's convert 3/5 into a fraction with a common denominator of 5:
slope = (2/9 - (-2)) / (-6 - 15/5)
= (2/9 + 2) / (-30/5 - 15/5)
= (2/9 + 18/9) / (-30/5 - 15/5)
= (20/9) / (-45/5)
= (20/9) / (-9/1)
= (20/9) * (-1/9)
= -20/81
Therefore, the slope of the line passing through (3/5, -2) and (-6, 2/9) is -20/81.