Math Problem Statement

write an equation for a line that has a slope of 1/4 and y intercept of 5.5

Solution

The general form of the equation of a line is:

y=mx+by = mx + b

where:

  • mm is the slope of the line,
  • bb is the y-intercept.

Given that the slope m=14m = \frac{1}{4} and the y-intercept b=5.5b = 5.5, the equation of the line is:

y=14x+5.5y = \frac{1}{4}x + 5.5

Let me know if you want more details or have any questions!

Here are some related questions:

  1. How do you find the slope of a line from two points?
  2. What is the point-slope form of a linear equation?
  3. How do you graph the equation of a line?
  4. What is the relationship between slope and the angle of a line?
  5. How can you find the equation of a line perpendicular to a given line?

Tip: Always make sure to check whether you are given a slope or a point to determine the correct form of the equation to use!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 7-9