Math Problem Statement

Slope=7, y-intercept =2

Solution

The equation of a straight line in slope-intercept form is:

y=mx+by = mx + b

Where:

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

Given:

  • Slope m=7m = 7
  • Y-intercept b=2b = 2

The equation of the line becomes:

y=7x+2y = 7x + 2

This is the linear equation representing the line with a slope of 7 and a y-intercept of 2.

Would you like more details on how to use or interpret this equation?

Here are 5 related questions for further exploration:

  1. How do you find the x-intercept of a line?
  2. What does the slope of a line represent in a real-world context?
  3. How do you graph a line using its slope and y-intercept?
  4. How do you determine the slope between two points?
  5. What is the significance of the y-intercept in different applications?

Tip: The slope represents how steep the line is, with higher values indicating a steeper incline.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-Intercept Form: y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 8-10