Find the slope of the line passing through (-2,7) and (0,1)
m = (1-7)/(0+2) = -3
Ah, finding the slope, a classic math problem! It's like a snail navigating a slime-covered trail. So, to calculate the slope of the line passing through (-2,7) and (0,1), we consider the rise and the run. Picture two penguins trying to waddle in a straight line!
Alright, let's calculate. The rise is the change in the y-values, which in this case is 7 - 1 = 6. Now, for the run, it's the change in the x-values, which is -2 - 0 = -2.
So, we have a rise of 6 and a run of -2. The slope is just the rise divided by the run. Ah, math, you little dividers! So the slope is 6 divided by -2, which gives us -3.
The slope is -3, just like a confused penguin trying to walk on ice!
To find the slope of a line passing through two points, we can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Let's apply this formula to the given points (-2, 7) and (0, 1):
m = (1 - 7) / (0 - (-2))
Simplifying further:
m = -6 / 2
m = -3
Therefore, the slope of the line passing through (-2, 7) and (0, 1) is -3.
To find the slope of a line passing through two points, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (-2,7) and (0,1), we can label them as follows:
Point 1: (x1, y1) = (-2, 7)
Point 2: (x2, y2) = (0, 1)
Substituting these values into the slope formula, we get:
slope = (1 - 7) / (0 - (-2))
= (-6) / (0 + 2)
= (-6) / 2
= -3
Therefore, the slope of the line passing through (-2,7) and (0,1) is -3.