Answer:
Line 2 and 3 are parallel
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.