Math Problem Statement

Find the equation of a line given the slope m = 9 and the y-intercept b = 2.

Solution

The image shows a problem that provides values for the slope (mm) and the y-intercept (bb) of a linear equation.

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

y=mx+by = mx + b

From the image:

  • m=9m = 9 (slope)
  • b=2b = 2 (y-intercept)

Thus, the equation of the line would be:

y=9x+2y = 9x + 2

Would you like more details on this, or do you have any specific questions?

Here are 5 related questions to deepen your understanding:

  1. What is the slope-intercept form of a line, and how is it derived?
  2. How do we interpret the slope and y-intercept in real-world scenarios?
  3. How can we convert this equation into standard form?
  4. What is the graph of this equation, and how would it look?
  5. How can we find the x-intercept of this line?

Tip: The slope tells you how steep the line is, and the y-intercept tells you where the line crosses the y-axis!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9