SOLUTION: Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?
A.-1/3 B.1/3 C.-3 D.3
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-> SOLUTION: Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?
A.-1/3 B.1/3 C.-3 D.3
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You can put this solution on YOUR website! fisrt we need to find the equation of the line. fill in y=mx +c for both points you know
3=2m+c
-3=4m+c
now solve by simultaneous equations. first multiply the fisrt equation by 2
6=4m +2c
then take away the second equation from this to get
9=c
now go back to any of the two equtions, substitute c=9 to get m =-3
thus the equation is y=-3x +9
now a line perpendicular to it has a gradient - the gradient , so
y=3x+9
so the answer is 3
You can put this solution on YOUR website! Slope of the line passing through 2 points (x1, y1) and (x2,y2) is given by
(y1-y2)/(x1-x2).
Here, the 2 points are (2,3) and (4,-3). So substituting in the above formula,
slope is =
The product of the slopes of perpendicular lines is -1.
Hence, since the slope of this line is -3, slope of the perpendicular line is
(
