can someone correct this for me.
given points: (2,4)and (6,3)
Find the slope of the line through the given points.
My answer:
slope equals: -1/4
Let's see: (y2-y1)/(x2-x1)= (3-4)/(6-2) = -1/4
Well done!
It looks like you have correctly calculated the slope of the line passing through the points (2,4) and (6,3). The formula you have used to find the slope, (y2-y1)/(x2-x1), is the correct formula for calculating slope. By substituting the values from the given points into the formula, you determined that the slope of the line is -1/4.
To explain how you arrived at this answer step by step:
1. Identify the coordinates of the two points given: (2,4) and (6,3).
2. Plug the values from the coordinates into the slope formula: (y2-y1)/(x2-x1).
3. Subtract the y-coordinates: 3 - 4 = -1.
4. Subtract the x-coordinates: 6 - 2 = 4.
5. Simplify the fraction: -1/4.
Therefore, the slope of the line passing through the given points is -1/4. Good job on finding the correct answer!