Math Problem Statement

Find the slope and the y-intercept of the line y=-2_5x+1 what's the slope and the y- intercept

Solution

The given equation is y=25x+1y = -2_5x + 1. It appears that the underscore between the "2" and "5" might be a typo. If you're asking about the line y=25x+1y = -\frac{2}{5}x + 1, here's how to find the slope and the y-intercept:

1. Slope:

The slope of a line in the form y=mx+by = mx + b is the coefficient of xx, which is mm.

In this case, m=25m = -\frac{2}{5}.

So, the slope is 25-\frac{2}{5}.

2. Y-intercept:

The y-intercept is the constant term, bb, which is the value of yy when x=0x = 0.

Here, b=1b = 1.

So, the y-intercept is 1 (or the point (0,1)(0, 1)).

Would you like further details on how to graph this or any other clarifications?

Here are 5 questions to consider:

  1. What is the effect of changing the slope on the line?
  2. How does a positive slope compare to a negative slope?
  3. What happens if the y-intercept is negative?
  4. How can you rewrite this equation in standard form?
  5. Can you calculate the slope between two points on a line?

Tip: A steeper slope means the line rises or falls more quickly as you move along the x-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-Intercept Form: y = mx + b

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 6-8