a line passing through (-3,4)and(2,5) is perpendicular to a line which is passing through (7,10)and(x,12) find the value of x
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Answer:
x= 33/5
Step-by-step explanation:
Okay, we find the slope of (-3,4) and (2,5) first.
using the slope formula: (5-4)/(2+3) = 1/5.
We find that the equation of the line is y=0.2x+4.6
Next, we use the perpendicular rule, that states the line(b) perpendicular to another line(a) would be 1/-slope(a).
We find that line b will have the slope of -5.
Now we can set up this equation:
(12-10)/(x-7)= -5
x= 33/5
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