Math Problem Statement

Give the sl[pe and the y intercept of the line y= -2x-3

Solution

The equation of the line is given as:

y=2x3y = -2x - 3

This is in slope-intercept form y=mx+by = mx + b, where:

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

From the equation:

  • Slope m=2m = -2
  • Y-intercept b=3b = -3

So, the slope is 2-2, and the y-intercept is 3-3 (meaning the line crosses the y-axis at (0,3)(0, -3)).

Would you like more details or have any questions about this? Here are some related questions:

  1. What is the slope of a line parallel to y=2x3y = -2x - 3?
  2. How would the line change if the slope were 0?
  3. What is the x-intercept of the line y=2x3y = -2x - 3?
  4. Can you convert the equation to standard form Ax+By=CAx + By = C?
  5. How does changing the y-intercept affect the graph of a line?

Tip: To quickly find the slope in any linear equation, always look at the coefficient of xx.

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

Slope-intercept form: y = mx + b

Theorems

-

Suitable Grade Level

Grades 7-9