The equations of four lines are given. Identify which lines are parallel. Line 1:
y=-7x + 6
Line 2:
x +1/5y=-6
Line 3:
y=-5x -8
Line 4:
y+7=-1/7(x+4)

Line 2 and 3 are parallel

Step-by-step explanation:

Recall that the general equation of a line in slope-intercept form is given by:

y = mx + b

where m is the gradient (slope).

two different equations that have the same value of m is said to have the same gradient and hence are parallel.

We simply have to rearrange each given equation so that it takes the form

y = mx + b and then compare all 4 to see which values of m are the same.

Line 1 :  y = -7x + 6

Line 2: x +(1/5)y=-6 ===> rearrange to get y = -5x - 30

Line 3:  y= -5x -8

Line 4:  y+7=(-1/7)(x+4) ===> rearrange to get y = (-1/7)x - (53/7)

comparing the above, it is clear that line 2 and line 3 have m- values of m = -5, hence these lines are parallel.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d