Question

Y-3=2(x-3) y+5=2(x+1)

choose 1 answer
the same line
distinct parallel lines
Perpendicular lines
intersecting, but not perpendicular lines

Answer 1

The same lines (answer)

Explanation:

The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,

y-3 = 2(x-3) .......(1) ; y + 5 = 2(x+1) ...........(2)

y = 2x - 6 + 3 ; y = 2x + 2 - 5

y = 2x -3 ; y = 2x - 3

Comparing with slope intercept form we have,

m1 = 2 ; m2 = 2

c1 = -3 ; c2 = -3

If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)