if two lines are having the slopes 2/3 and x are perpendicular to each other then x
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Answer:
m1×m2=−1⇒−7×m2=−1⇒−7m2=−1⇒m2=
Step-by-step explanation:
We know that the slope of the line joining two points (x1,y1) and (x2,y2) is:
m=x2−x1y2−y1
Here, the given points are (2,−3) and (1,4), therefore, the slope of the line is:
m1=x2−x1y2−y1=1−24−(−3)=−17=−7
We also know that if the slope of the two lines have the relation m1×m2=−1, then the lines are perpendicular to each other, therefore, the slope m2 of the line perpendicular to the given line is:
m1×m2=−1⇒−7×m2=−1⇒−7m2=−1⇒m2=(Answer)
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