Find Slope Given Slope-Intercept Form Worksheet

6 problems

Find slope given slope-intercept form involves determining the slope of a linear equation when it's presented in slope-intercept form, `y=mx+b`. The slope `(m)` represents the rate of change or steepness of the line. By understanding how to identify the coefficient of `x` in this form, we can easily find the slope and interpret its significance in the context of the equation and its graph.

For example:

Find the slope of the line `y=12x+6`.

Algebra 1
Linear Relationship

How Will This Worksheet on "Find Slope Given Slope-Intercept Form" Benefit Your Student's Learning?

  • Learning how to find slope helps students understand how steep a line is without having to draw it.
  • It reinforces understanding of how the coefficient of `x` in an equation relates to the slope of the line.
  • Provides an easy way to figure out how quickly one variable changes relative to another.
  • Strengthens problem-solving skills by giving a straightforward me...
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Solved Example

Q. Find the slope of the line y=7x+13y = -7x + 13. Write your answer as an integer or as a simplified proper or improper fraction.
  1. Identify Form: Identify the form of the linear equation.\newlineThe equation y=7x+13y = -7x + 13 is in the slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Determine Slope: Determine the slope of the line.\newlineBy comparing y=7x+13y = -7x + 13 with the slope-intercept form y=mx+by = mx + b, we can see that the coefficient of xx is 7-7. This coefficient represents the slope of the line.

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