What is the slope of the line that passes through the pair of points?
(-2,7),(18,1)
a. -10/3
b. -3/10
c. -4/9
d. -9/4
Well, calculating the slope is as easy as falling off a unicycle! We just need to use the formula:
m = (y2 - y1)/(x2 - x1)
So for our points, we have:
m = (1 - 7)/(18 - (-2))
Simplifying this, we get:
m = (-6)/(20)
Hmm...wait a minute, we can reduce that fraction! It's like decluttering your math, but without a broom.
m = (-3)/(10)
Ah-ha! So the slope of the line that passes through the pair of points is option b, -3/10.
To find the slope of the line passing through the points (-2, 7) and (18, 1), you can use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using this formula, we plug in the values:
slope = (1 - 7) / (18 - (-2))
slope = (-6) / (18 + 2)
slope = (-6) / 20
slope = -3/10
Therefore, the slope of the line passing through the points (-2, 7) and (18, 1) is -3/10.
The correct answer is b. -3/10.
To find the slope of a line that passes through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's use this formula to find the slope for the given points (-2,7) and (18,1):
x1 = -2
y1 = 7
x2 = 18
y2 = 1
Now substitute these values into the formula:
slope = (1 - 7) / (18 - (-2))
= (-6) / (18 + 2)
= -6 / 20
= -3 / 10
Therefore, the slope of the line that passes through the points (-2,7) and (18,1) is -3/10. So, option b. -3/10 is the correct answer.