Question

the equation of three lines are given below line 1:y=5/3x-6line 2:10x-6y=8line 3: 3y=5x+7for each pair of lines determine whether they are parallel perpendicular or neither line1 and line 2: parallel perpendicular or neither Line 1 and line 3:parallel perpendicular or neither line 2 to a line 3:parallel perpendicular or neither

Answer 1

line 1 = y = 5/3 x - 6

Find the slope of the line by comaring it with y = mx+ b

m= 5/3

Line 2

Write the equation in the form y =mx +b and find the slope m

10x - 6y = 8

6y = 10x - 8

Divide through by 6

y = 10/6 x - 8/6

y = 5/3 x - 4/3

m= 5/3

Line 3

3y = 5x + 7

Also write in the form y =mx + b and find the slope m

y = 5/3 x + 7/3

m = 5/3

Line 1 and line 2 are parallel since they have the same slope

Line 1 and 3 are parallel (they have the same slope)

Line 2 and 3 are parallel, they have the same slope