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Graphing Linear Equations. In Slope-Intercept Form. We have already seen that linear equations have two variables and when we plot all the (x,y) pairs that make the equation true we get a line.

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graphing linear equations

Graphing Linear Equations

In Slope-Intercept Form

slide2

We have already seen that linear equations have two variables and when we plot all the (x,y) pairs that make the equation true we get a line.

In this section, instead of making a table, evaluating y for each x, plotting the points and making a line, we will use The Slope-Intercept Form of the equation to graph the line.

slide4

The formula for Slope-Intercept Form is:

  • ‘b’ is the y-intercept.
  • ‘m’ is the slope.

On the next three slides we will graph the three equations:

using their y-intercepts and slopes.

slide5

right 1

up 2

right 1

up 2

slide6

down 1

down 1

right 1

right 1

slide7

right 2

up 3

right 2

up 3

slide9

down 2

down 2

right 1

right 1

1) Plot the y-intercept as a point on the y-axis. The constant, b = 3, so the y-intercept = 3.

2) Plot more points by counting the slope up the numerator (down if negative) and right the denominator. The coefficient, m = -2, so the slope = -2/1.

slide11
HW
  • pg. 298 #12 to 26 even