Math Problem Statement

Identify the slope and y-intercept of the graph of the equation.

FL_M80900_BLM_011A-DIG.png

slope = 1

y-intercept = 1.5

Solution

The equation provided in your query appears to describe a linear equation where the slope and the y-intercept are given as follows:

  1. Slope = 1
  2. Y-intercept = 1.5

In slope-intercept form, y=mx+by = mx + b, where mm is the slope and bb is the y-intercept, the equation for this line would be:

y=1x+1.5or simplyy=x+1.5y = 1x + 1.5 \quad \text{or simply} \quad y = x + 1.5

This tells us:

  • The line rises one unit vertically for every one unit it moves horizontally (slope m=1m = 1).
  • The line crosses the y-axis at y=1.5y = 1.5.

Let me know if you’d like further clarification or assistance analyzing this graph.

Here are 5 related questions for practice:

  1. How do you find the slope of a line from two points on the graph?
  2. What is the slope and y-intercept of the equation y=2x3y = 2x - 3?
  3. How do you convert a linear equation from standard form to slope-intercept form?
  4. What does a slope of 0 represent on a graph?
  5. How does the slope affect the steepness of a line?

Tip: To confirm a slope visually, choose two points on the line, calculate the rise over run (ΔyΔx\frac{\Delta y}{\Delta x}), and verify it matches the equation.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form
Graphing Linear Equations

Formulas

Slope-Intercept Form: y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8