Math Problem Statement

Consider the following equation.

4x−2y=84x−2y=8

Step 2 of 3 :  

Plot the y-intercept.

Solution

To find the y-intercept of the equation 4x2y=84x - 2y = 8, we need to set x=0x = 0. Here's how we do it:

  1. Substitute x=0x = 0 into the equation: 4(0)2y=84(0) - 2y = 8 This simplifies to: 2y=8-2y = 8

  2. Solve for yy: y=82y = \frac{8}{-2} y=4y = -4

So, the y-intercept is at (0,4)(0, -4).

Plotting the y-intercept:

  • The y-intercept occurs where the graph crosses the y-axis.
  • On the coordinate plane, you will plot the point (0,4)(0, -4).

Would you like more details or have any questions?

Related Questions

  1. How do you find the x-intercept of the equation?
  2. Can you rewrite the equation in slope-intercept form?
  3. What does the slope represent in this equation?
  4. How would you plot another point on the line to draw the full graph?
  5. How can you determine if two lines are parallel or perpendicular using their equations?

Tip

Always set x=0x = 0 to find the y-intercept and y=0y = 0 to find the x-intercept.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

Equation of a line: Ax + By = C
Finding the y-intercept by setting x = 0

Theorems

Intercept form of a linear equation

Suitable Grade Level

Grades 8-10