Question

P

Answer 1

So slope of the line m is 9

We know perpendicular lines have slopes negative reciprocal to each other and their product of slopes is -1

• 9m2=-1
• m2=-1/9

If slope of m is p/q then slope of perpendicular line is -q/p and vice versa

Answer 2

Answer:

$-\dfrac{q}{p}$

Step-by-step explanation:

Slope-intercept form of a Linear Equation:

$y = mx + b$

where:

• m is the slope
• b is the y-intercept

If line m has a y-intercept of c and a slope of p/q, then:

$\textsf{Equation of line m}: \quad y = \dfrac{p}{q}x + c$

If two lines are perpendicular to each other, the product of their slopes will be -1.

Let a = slope of the line perpendicular to line m.

$\implies a \times \dfrac{p}{q}=-1$

$\implies a=-\dfrac{q}{p}$

Therefore, the slope of the a line that is perpendicular to line m is:

$-\dfrac{q}{p}$