What is the slope of the line that passes through the points (-2, 4.15) and (1, 1.24)?
Here's my work:
m= y2-y1 / x2-x1
m+ 1.24-4.15 / 1 - (-2)
m= -2.91/3
Is my answer correct? I really appreciate your help! Algebra isn't the easiest for me
Good work.
For completion, do the final division.
m = -0.97
To find the slope of a line passing through two points, you correctly used the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-2, 4.15) and (1, 1.24), we label them as follows:
x1 = -2, y1 = 4.15
x2 = 1, y2 = 1.24
Substituting these values into the formula:
m = (1.24 - 4.15) / (1 - (-2))
m = (1.24 - 4.15) / (1 + 2)
m = (-2.91) / (3)
Now, dividing -2.91 by 3 gives us:
m = -0.97
So, the slope of the line passing through the points (-2, 4.15) and (1, 1.24) is -0.97.
Your answer is correct! Well done! Remember to pay attention to the signs and double-check your calculations. Keep practicing, and algebra will become easier over time. If you have any more questions, feel free to ask!