Math Problem Statement

Write the equation of this line in slope-intercept form using integers, proper fractions, and improper fractions in simplest form.

Solution

Let’s solve the given problem step-by-step.

Problem: Write the equation of the line in slope-intercept form.

The slope-intercept form of a line is: y=mx+by = mx + b where:

  • mm is the slope.
  • bb is the yy-intercept.

Step 1: Find the slope (mm).

The slope of a line is calculated as: m=ΔyΔxm = \frac{\Delta y}{\Delta x}

Choose two points on the line

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

Slope-intercept form: y = mx + b
Slope formula: m = (y2 - y1) / (x2 - x1)

Theorems

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Suitable Grade Level

Grades 8-10