Write Point-Slope Form Given Slope And A Point Worksheet

Algebra 1
Linear Relationship

Total questions - 6

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How Will This Worksheet on "Write Point-Slope Form Given Slope and a Point" Benefit Your Student's Learning?

  • Demonstrates how a point and slope define a straight line.
  • Helps find the rate of change or predict situations based on initial conditions.
  • Enhances algebra skills and orientation towards math tasks.
  • Clearly shows number connections, making it easier to explain ideas.

How to Write Point-Slope Form Given Slope and a Point?

  • Let the slope be m and the point be (x1,y1).
  • The point-slope form is: yy1=m(xx1).
  • Replace m with the given slope.
  • Replace x1 and y1 with the coordinates of the given point.
  • Expand and simplify the equation to make it look cleaner if needed.

Solved Example

Q. A line with a slope of 9 9 passes through the point (9,9) (9,9). What is its equation in point-slope form?
Solution:
  1. Define Point-Slope Form: Point-slope form is yy1=m(xx1) y - y_1 = m(x - x_1), where m m is the slope and (x1,y1) (x_1, y_1) is the point the line passes through.
  2. Identify Slope and Point: We know the slope m m is 9 9 and the point is (9,9) (9,9), so we plug these values into the point-slope form.
  3. Substitute Values into Formula: y9=9(x9) y - 9 = 9(x - 9) is the equation in point-slope form.
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About Worksheet

Algebra 1
Linear Relationship

To write the point-slope form of a line when given a slope and a point, use the formula  y-y1=m(x-x1). Here, m represents the slope, and (x1,y1) is the point given. For example, if the slope ‘m’  is 2 and the point is (3,4), you substitute these values into the formula: y-4=2(x-3). This equation shows how the line relates to the given point and slope, making it clear how the line moves through that specific point with the specified slope.

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