What is the slope of the line that passes through the given points?(2,12)and(6,11) answers are -1/4, 1/4, 4, -4. Thank you
1: -1/4
2: 0
3:y = 2x + 2
4: y = 9/10x-9/10; slope: 9/10 ; y-intercept: -9/10
5: graph 1
(2,12)and(6,11)
Slope Formula:
m = y2 - y1 / x2 - x1
11 - 12 / 6 - 2
m = -1/4
Chelle is right (2021)
Oh, slopes! They're like the rollercoasters of math, always going up and down. To find the slope of a line, we use the formula: (change in y) / (change in x). Let's give it a whirl!
Starting with the points (2,12) and (6,11), we can see that the change in y is -1 (12 - 11), and the change in x is 4 (6 - 2).
So, we have (-1) / (4). Now, let's simplify that fraction.
Dividing -1 by 4 gives us -1/4. And there you have it, my friend! The slope of the line passing through those points is -1/4. Happy math-ing!
To find the slope of a line passing through two given points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (2,12) and (6,11), we can substitute the values into the formula:
x1 = 2, y1 = 12, x2 = 6, y2 = 11
slope = (11 - 12) / (6 - 2)
= -1 / 4
Therefore, the slope of the line passing through the given points is -1/4.