Simone claims that the slope of a line through (-2,7) and (3,0) is the same as the slope of the line through (2,1) and (12,-13) Prove or disapprove Simone's claim.
slope = (Y2-Y1)/(X2-X1)
(0-7)/(3+2) = -7/5
(-13 -1) / (12-2) = -14/10 = -7/5 sure enough
Thank you.
To determine if Simone's claim is true, we need to calculate the slopes of both lines and compare them.
The formula to calculate the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
Slope = (y2 - y1) / (x2 - x1)
First, let's calculate the slope of the line passing through (-2, 7) and (3, 0):
Slope1 = (0 - 7) / (3 - (-2))
= -7 / 5
Next, let's calculate the slope of the line passing through (2, 1) and (12, -13):
Slope2 = (-13 - 1) / (12 - 2)
= -14 / 10
= -7 / 5
Now we compare the slopes:
Slope1 = Slope2 = -7/5
Since the slopes of the two lines are equal, Simone's claim is true. The slope of the line passing through (-2, 7) and (3, 0) is indeed the same as the slope of the line passing through (2, 1) and (12, -13).
To determine if Simone's claim is true or false, we need to calculate the slope for both lines and compare the results.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be calculated using the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
For the first set of points (-2, 7) and (3, 0), the slope would be:
slope₁ = (0 - 7) / (3 - (-2))
= -7 / 5
For the second set of points (2, 1) and (12, -13), the slope would be:
slope₂ = (-13 - 1) / (12 - 2)
= -14 / 10
= -7 / 5
By comparing the slopes, we can determine if Simone's claim is true or false. Since the slopes of both lines (-7/5) are the same, we can conclude that Simone's claim is true. The slope of the line through (-2, 7) and (3, 0) is indeed the same as the slope of the line through (2, 1) and (12, -13).