Question

Are the lines parallel, perpendicular, or neither?
y = 7x +3
y = 1/7x - 5

Answer 1

Neither (Answer)

Explanation:

Comparing both the equations with slope-intercept form (y = mx + c), where 'm' is the (slope/gradient) and and 'c' is the (y-intercept).

• If slopes are equal then the lines are parallel
• If the product of slopes is equal to '-1' then lines are perpendicular
• Otherwise, lines are intersecting (Neither)

Note: If the slopes are equal as well as the y-intercepts then they are same lines (overlapping) i.e lines are scaler multiple of each other.

Slope of line 1 = m1 = 7

slope of line 2 = m2 = 1/7

neither the slopes are equal nor the their product is equal to '-1'