Math Problem Statement

Write the equation of the line in slope-intercept form given the following:

Solution

The image asks you to write the equation of a line in slope-intercept form, which is typically expressed as:

y=mx+by = mx + b

where:

  • mm is the slope of the line
  • bb is the y-intercept (the point where the line crosses the y-axis)

To complete this, you need the values of the slope mm and the y-intercept bb.

If you have the values of the slope and y-intercept, you can substitute them into this form to get the equation of the line. Could you provide more information or numbers related to the problem so I can help you further?

Would you like more details or help with understanding this concept?

Here are 5 related questions you might find useful:

  1. How do you calculate the slope of a line from two points?
  2. What is the relationship between the slope and the steepness of a line?
  3. How can you find the y-intercept if you know a point on the line and the slope?
  4. What is the point-slope form of a line, and how does it relate to slope-intercept form?
  5. How do vertical and horizontal lines appear in slope-intercept form?

Tip: If you have two points on the line, you can find the slope by using the formula m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-Intercept Form y = mx + b

Theorems

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Suitable Grade Level

Grades 6-8