Math Problem Statement

Find the equation of the line in the form y = mx + b, or x = c, given the slope 2 and y-intercept (0, -1).

Solution

The problem asks to find the equation of a line given the slope and y-intercept.

Given:

  • Slope (m): 2
  • y-intercept: (0,1)(0, -1)

Solution:

The general form of the equation of a line in slope-intercept form is: y=mx+by = mx + b Where:

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

Substituting the given values: y=2x1y = 2x - 1

So, the equation of the line is: y=2x1\boxed{y = 2x - 1}

Would you like more details or have any questions?

Here are 5 related questions for further practice:

  1. What is the equation of a line with a slope of 3 and a y-intercept of 4?
  2. How do you find the slope of a line given two points?
  3. What is the equation of a line parallel to y=2x1y = 2x - 1 but passing through (1,2)(1, 2)?
  4. If the slope is 1/2-1/2 and the y-intercept is 3, what is the equation of the line?
  5. How does the slope affect the steepness of a line on a graph?

Tip: The y-intercept is where the line crosses the y-axis, and it occurs when x=0x = 0.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

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Suitable Grade Level

Grades 7-9