Line m has a slope of 32and passes through 001 Follow these

Line m has a slope of 3/2and passes through (0.01. Follow these Step 1: Start at (0,0) Step 2: Move right 6 units From the location defined completing step 2, how many units is line m?

Solution

given slope of line m = 3/2

line starts from (x1,y1) = (0,0)

after move right side by 6 units ie x = 6

eqaution of line at (0,0) with slope m =3/2 is y - 0 = 3/2(x - 0)

y = 3/2(x)

at x=6 , y = 3/2(6) = 9

(x2,y2) = (6,9)

distance between (x1,y1) and (x2,y2) is sqrt( (x2-x1)² + (y2-y1)² )

= sqrt( (6 - 0)²+(9-0)² )

= sqrt(36+81)

= sqrt(117) units