Find the slope of the line parallel to the line joining the points (1,−5) and (7,1).
Open in App
Solution
We know that the slope of the line joining two points (x1,y1) and (x2,y2) is:
m=y2−y1x2−x1
Here, the given points are (1,−5) and (7,1), therefore, the slope of the line is:
m1=y2−y1x2−x1=1−(−5)7−1=66=1
We also know that if the slope of the two lines are equal that is m1=m2, then the lines are parallel, therefore, the slope m2 of the line parallel to the given line is:
m1=m2=1
Hence, the slope of the line parallel to the given line is1.