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Graphing Lines in y = mx + b Form

To graph a line on a coordinate plane, the easiest way to do so is when

the line is in y = mx + b form.

Ex: y = 3x - 2 is in y = mx + b form

Another name for y = mx + b form is slope-intercept form. Why you ask ??

Because when an equation is in this form, the slope and intercept are readily accessible. What intercept you ask ?? Why of course, the y intercept !!

Ex: y = -4x + 2 is in slope intercept (y = mx + b) form

-4 is m ( the slope) and 2 is b ( the y intercept )

Now Let's Graph Some Lines.

For ease of graphing, all of our lines will be in the proper form.

Take out a piece of graph paper and follow along.

Ex: Let's graph our two examples from above.

y = 3x - 2

1) Start at the y intercept of -2 and draw a dot.

2) From the point (0, -2), go up three and over to

the right one ( a slope of three ). Draw a second

point. Now use a straight edge to connect your

points.

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y = -4x + 2

1) Start at the y intercept of 2 and draw a dot.

2) From the point (0, 2), go down four and over to

the right one ( a slope of negative four ). Draw a

second point. Now use a straight edge to connect

your points.

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