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

The lines are neither parallel nor perpendicular

Step-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 + 3

This equation is already in slope-intercept form. Its slope is -4/5

The second equation is given as;

4x - 5y = -15

We solve for y;

-5y = -4x - 15

y = 4/5x + 3

The slope of the line is thus 4/5

Parallel 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 ≠ -1

The two lines are not perpendicular

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