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What is the slope of the line y = x + 1?

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Answer:

The slope of the line y = x + 1 is equal to 1.

General Formulas and Concepts:
Algebra I

Slope-Intercept Form:
[tex]\displaystyle y = mx + b[/tex]

  • m - slope
  • b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify given equation.

[tex]\displaystyle y = x + 1[/tex]

Step 2: Find Slope m

Let's compare our given equation to the general equation Slope-Intercept Form to identify our values for slope m and y-intercept b:

  1. Compare:
    [tex]\displaystyle \begin{aligned}y & = mx + b \\y & = x + 1 \\\end{aligned}[/tex]

We can see that our y-intercept b is equal to 1. Let's rewrite our given expression:

  1. Rewrite:
    [tex]\displaystyle \begin{aligned}y & = mx + b \\y & = x + 1 \\& = (1)x + 1 \\\end{aligned}[/tex]

Here, we can identify our slope m to be 1.

∴ the slope of the given line is equal to 1.

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Learn more about Slope-Intercept Form: https://brainly.com/question/27830077

Learn more about Algebra I: https://brainly.com/question/10664006

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Topic: Algebra I

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