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Graphing Linear Equations

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

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  1. Graphing Linear Equations In Slope-Intercept Form

  2. 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.

  3. These equations are all in Slope-Intercept Form:

  4. 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.

  5. right 1 up 2 right 1 up 2

  6. down 1 down 1 right 1 right 1

  7. right 2 up 3 right 2 up 3

  8. Sometimes we must solve the equation for y before we can graph it.

  9. 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.

  10. Let’s Practice

  11. HW • pg. 298 #12 to 26 even

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