McGraw Hill Glencoe Algebra 1, 2012
MH
McGraw Hill Glencoe Algebra 1, 2012 View details
3. Writing Equations in Point-Slope Form
Continue to next subchapter

Exercise 2 Page 235

We are given everything we need to use point-slope form.

Equation: y+8= 56(x+2)
Graph:

Practice makes perfect

Using the given point and slope, we can apply the point-slope form to write and graph the equation. We will start by writing the equation.

Writing the Equation

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 ( -2, -8) and the slope 56, so we have everything we need to create a point-slope form equation.

y-y_1=m(x-x_1)
y-( - 8)= 5/6(x-( - 2))
y+8=5/6(x+2)

Graphing the Equation

To graph the line, we will plot the given point (-2,-8), then use the slope of 56 to move six steps to the right and five steps up. By connecting the given point and our new point with a line, we get the graph of the equation.