Math Problem Statement

y= 8/5x-5

Solution

The equation given is y=85x5y = \frac{8}{5}x - 5. This is a linear equation in slope-intercept form, y=mx+by = mx + b, where:

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

For your equation:

  • The slope mm is 85\frac{8}{5}, meaning that for every 5 units moved horizontally, the value of yy increases by 8 units.
  • The y-intercept bb is 5-5, which means the line crosses the y-axis at (0,5)(0, -5).

Key Information:

  • Slope: 85\frac{8}{5}
  • Y-intercept: 5-5
  • The graph will be a straight line.

Would you like further details on how to graph this, or do you have any other questions?

Here are 5 related questions you might consider:

  1. How do you find the x-intercept of a line?
  2. What happens to the graph if the slope changes to a negative value?
  3. How do you calculate the slope from two points on a line?
  4. How can you determine if two lines are parallel?
  5. What is the equation of a line perpendicular to this one through the origin?

Tip: To find the x-intercept of the line, set y=0y = 0 and solve for xx.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b
Slope = rise/run
X-intercept: Set y = 0 and solve for x

Theorems

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Suitable Grade Level

Grades 8-10