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Big Ideas Math: Modeling Real Life, Grade 8 View details

7. Writing Equations in Point-Slope Form

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Exercise 8 Page 181

Point-slope form is y-y_1=m(x-x_1).

y-4=3(x-5)

Practice makes perfect

An equation in Point-slope form follows a specific format. y- y_1= m(x- x_1) In this format, m represents the slope and the point ( x_1, y_1) lies on the graph of the line. We are given the point ( 5, 4) and the slope 3, so we have everything we need to create a point-slope form equation.

y-y_1=m(x-x_1)

SubstituteValues

Substitute values

y- 4= 3(x- 5)

Please note that any point on the line can be used to form a point-slope equation. Therefore, our equation is only one of infinitely many possible equations!