Find Slope Given Point-Slope Form Worksheet

Algebra 1
Linear Relationship

Total questions - 6

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  • Provides recurrent opportunities to strengthen comprehension.
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How to Find Slope Given Point-Slope Form?

  • Ensure the equation is in the form `y - y_1 = m(x - x_1)`, where `(x_1, y_1)` is a point on the line and `m` is the slope.
  • The coefficient of `x - x_1` is the slope `(m)`.
  • Simply take the coefficient of `x - x_1` to find the slope.
  • Now that you've found the slope, you can utilize it for various purposes such as graphing the line, determining parallel or perpendicular lines, or solving related problems.

Solved Example

Q. Find the slope of the line y+3=118(x+6)y + 3 = -\frac{1}{18}(x + 6).\newline
Solution:
  1. Identify Point-Slope Form: The equation is already in point-slope form, which is yy1=m(xx1)y - y_1 = m(x - x_1), where mm is the slope.
  2. Find Slope: Now, let's identify the slope from the equation y+3=118(x+6)y + 3 = -\frac{1}{18}(x + 6).
  3. Final Answer: If we compare the given equation with point-slope form, we get the value of mm. \newlinem=118m=-\frac{1}{18}\newlineSo, the slope is 118-\frac{1}{18}.
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About Worksheet

Algebra 1
Linear Relationship

To find the slope from the point-slope form of a linear equation, we can use the following equation.

`y - y_1 = m(x - x_1)`

Within this formula:

  • On the line, `(x_1, y_1)` is a point.
  • The line's slope is `m`.

Use these worksheets to enhance your computation skills.

Example: Find the slope of the following equation of line. `y - 5 =-2(x - 9)`

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