Math / Geometry

QuestionParallel \& Perpendicular Lines
If the line $A$ has a slope of $-3 / 5$ , then the slope perpendicular to it will be.... * 1 point 3 $-5$ $-3 / 5$ $3 / 5$ $-5 / 3$ $5 / 3$
If the line $A$ has a slope of $-3 / 5$ , then the slope parallel to it will be.... * 1 point 3 $-5$ $-3 / 5$ $3 / 5$ $-5 / 3$ $5 / 3$

Studdy Solution

STEP 1

1. Two lines are parallel if they have the same slope.
2. Two lines are perpendicular if the product of their slopes is $-1$ .

STEP 2

1. Determine the slope of a line perpendicular to line $A$ .
2. Determine the slope of a line parallel to line $A$ .

STEP 3

To find the slope of a line perpendicular to line $A$ , we use the property that the product of the slopes of two perpendicular lines is $-1$ . If the slope of line $A$ is $-\frac{3}{5}$ , then let the slope of the perpendicular line be $m$ . We have:
$-\frac{3}{5} \times m = -1$

STEP 4

Solve for $m$ :
$m = \frac{-1}{-\frac{3}{5}}$ $m = \frac{5}{3}$
The slope of the line perpendicular to line $A$ is:
$\boxed{\frac{5}{3}}$

STEP 5

To find the slope of a line parallel to line $A$ , we use the property that parallel lines have the same slope. Therefore, the slope of a line parallel to line $A$ is the same as the slope of line $A$ , which is:
$\boxed{-\frac{3}{5}}$

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