Which pair of points lie on a line with an undefined slope?
a. (0,4) (4,0)
b. (0,2) (2,2)
c. (4,0) (4,4)
d. (4,4) (2,2)
for the slope to be undefined, the line would be vertical
a vertical line has all its x's the same,
so .....
is it "d"
ummh, are the x's the same in d) ?
oo i got it..... its c...bcoz both are 4
To determine which pair of points lie on a line with an undefined slope, we need to understand what an undefined slope means.
The slope of a line is defined as the change in y-coordinates divided by the change in x-coordinates between two points on the line. In other words, for any two points (x1, y1) and (x2, y2) on a line, the slope can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
The slope is undefined when the change in x-coordinates is zero, meaning that the line is vertical and has no slope.
Let's calculate the slope for each pair of points:
a. (0,4) (4,0)
slope = (0 - 4) / (4 - 0) = -4/4 = -1
b. (0,2) (2,2)
slope = (2 - 2) / (2 - 0) = 0
c. (4,0) (4,4)
slope = (4 - 0) / (4 - 4) = 4/0 (division by zero is undefined)
d. (4,4) (2,2)
slope = (2 - 4) / (2 - 4) = -2/(-2) = 1
From the calculations, we can see that the pair of points (4,0) and (4,4) has an undefined slope because the change in x-coordinates is zero. Therefore, the correct answer is option c.