Question

1. Consider the equation y = x - 1.

a. What is the slope of the graph of this equation?
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b. What is the slope of the lines parallel to the graph of this equation?
c. What is the slope of the lines perpendicular to the graph of this equation?​

Answer 1

a. 1/1

b.1/1

c. -1/1

Answer 2

a. 1

b. 1

c. -1

Explanation:

Hello!

Slope - Intercept Form:
`y =mx + b`

• m = slope
• b = y-intercept

Given the equation y = x - 1:

• Slope = 1
• y-intercept = -1

Parallel lines have the same slope. Perpendicular lines have negative reciprocal slopes.

What is the Reciprocal?

The reciprocal is simply the switching of the numerator and denominator of a fraction.

Reciprocal of 1:

• 1/1
• 1/1

Stays the same.

Parallel Slope: 1

Perpendicular Slope: - 1 (negative reciprocal of 1).