A line has a slope of −35
. Through which two points could this line pass?
Responses
(-5, 9) and (10, 0)
(-5, 9) and (10, 0)
(8, 1) and (13, 4)
(8, 1) and (13, 4)
(-4, -1) and (3, 20)
(-4, -1) and (3, 20)
(-16, -4) and (12, 8)
To check if a line passes through two points with a given slope, you can either calculate the slope between the two points or use the point-slope form equation of a line. If the calculated slope equals the given slope (-35 in this case), then the line passes through those two points.
The slope (m) between two points (x1, y1) and (x2, y2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
We can use this formula to calculate the slope for each pair of points to see which pair has a slope of -35.
1. Points: (-5, 9) and (10, 0)
Slope (m) = (0 - 9) / (10 - (-5)) = (-9) / (10 + 5) = -9 / 15 = -3 / 5
This slope is not equal to -35, so the line does not pass through these points.
2. Points: (8, 1) and (13, 4)
Slope (m) = (4 - 1) / (13 - 8) = 3 / 5
This slope is not equal to -35, so the line does not pass through these points.
3. Points: (-4, -1) and (3, 20)
Slope (m) = (20 - (-1)) / (3 - (-4)) = 21 / 7 = 3
This slope is not equal to -35, so the line does not pass through these points.
4. Points: (-16, -4) and (12, 8)
Slope (m) = (8 - (-4)) / (12 - (-16)) = 12 / 28 = 3 / 7
This slope is not equal to -35, so the line does not pass through these points.
It appears that none of the given pairs of points have a slope of -35. It's possible there may be a transcription error, as none of the point pairs you provided work with the given slope. If the slope is indeed -35, you would need to find two points where the difference in y-values (Δy) divided by the difference in x-values (Δx) equals -35.