Math Problem Statement

4x-5y-20=0

Solution

The equation you provided is:

4x5y20=04x - 5y - 20 = 0

We can rearrange this equation to express yy in terms of xx (slope-intercept form):

Step 1: Move the constant term to the other side

4x5y=204x - 5y = 20

Step 2: Isolate yy

5y=4x+20-5y = -4x + 20

Step 3: Divide by 5-5

y=45x4y = \frac{4}{5}x - 4

This is the equation in slope-intercept form y=mx+by = mx + b, where the slope m=45m = \frac{4}{5} and the y-intercept is 4-4.

Would you like more details or have any questions?

Here are five related questions:

  1. What is the slope of the line?
  2. What is the y-intercept in the context of this equation?
  3. How would you find the x-intercept?
  4. Can you plot this line on a coordinate plane?
  5. How would you write the equation in standard form?

Tip: Always check the equation's slope and intercept before graphing to ensure accuracy.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-intercept form y = mx + b

Theorems

-

Suitable Grade Level

Grades 8-10