Question

Determine the intercepts of the line. y=6x+13y=6x+13

Answer 1

x-intercept: -13/6

y-intercept: 13

General Formulas and Concepts:

Algebra I

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Coordinate Planes

• The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
• The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis.

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Terms/Coefficients

Explanation:

Step 1: Define

Identify.

y = 6x + 13

Step 2: Find y-intercept

Compare given equation to slope-intercept form.

y = 6x + 13 ↔ y = mx + b

Slope m = 6

y-intercept b = 13

Step 3: Find x-intercept

Substitute y = 0.

1. Substitute in y [Equation]: 0 = 6x + 13
2. [Subtraction Property of Equality] Subtract 13 on both sides: -13 = 6x
3. [Division Property of Equality] Divide 6 on both sides: -13/6 = x
4. Rewrite: x = -13/6