Math Problem Statement

A line has a slope of – 2 and a y-intercept of – 15. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Solution

The slope-intercept form of a line's equation is:

y=mx+by = mx + b

Where:

  • mm is the slope of the line
  • bb is the y-intercept of the line

Given:

  • Slope m=2m = -2
  • Y-intercept b=15b = -15

Substitute these values into the slope-intercept form:

y=2x15y = -2x - 15

So, the equation of the line is:

y=2x15y = -2x - 15

Would you like more details on how to graph this equation or understand its properties?

Here are 5 related questions:

  1. How do you find the slope of a line from two given points?
  2. How do you convert a slope-intercept form equation to standard form?
  3. What does the slope of a line represent in real-world situations?
  4. How do you find the x-intercept of a line from its equation?
  5. What happens to the graph of a line if the slope changes but the y-intercept stays the same?

Tip: When graphing lines, the y-intercept is the point where the line crosses the y-axis, and it helps you start plotting the line easily.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-Intercept Form: y = mx + b

Theorems

Slope Formula

Suitable Grade Level

Grades 8-10