Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Writing Equations in Point-Slope Form
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Exercise 5 Page 171

Consider the Slope Formula to write the equation.

See solution.

Practice makes perfect

Notice that we can give infinitely many example. However, let's assume that our line has a slope m= 2 and it passes through the point ( 3, 3). In order to write an equation for the line, we will use the Slope Formula. m = y_2-y_1/x_2-x_1 In the formula, (x_1,y_1) and (x_2,y_2) are the points that appear on the line and m is the slope of the line. Therefore, we will assume that ( x, y) is any point that our line passes through different than ( 3, 3). Let's apply the formula.

m = y_2-y_1/x_2-x_1
2=y- 3/x- 3
( x- 3) 2= y- 3
y- 3= 2( x- 3)

As a result, our equation is y- 3= 2( x- 3).