Q:

Tell whether the lines for.the pair of equations are parallel, perpendicular, or neither y = - 4/5x + 3; 4x - 5y = -15

Accepted Solution

A:
Answer:The lines are neither parallel nor perpendicularStep-by-step explanation:The first step is to re-write the equations in slope-intercept form. The first equation is given as;y = -4/5x + 3This equation is already in slope-intercept form. Its slope is -4/5The second equation is given as;4x - 5y = -15We solve for y;-5y = -4x - 15y = 4/5x + 3The slope of the line is thus 4/5Parallel lines have equal or identical slopes. The slopes of the two lines are not equal implying that the lines are not parallel. Two lines are said to be perpendicular if the product of their slopes is equal to -1.The product of the slopes of the two lines is;(-4/5) * (4/5) = -16/25 β‰  -1The two lines are not perpendicular