Help on Point Slope Form

cgunner

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Jan 26, 2009
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I have three equations dealing with point slope form. I have tried graphing them out, with no luck. Can you help me?

The first equation is for a slope of -3 throught he point (2, -1)

The second is the equation for a line with a slope of 2 through the point (5,4)

Third, is the equation for a line with a slope of .05 through the point (-6,1)

Any assistance would be greatly appreciated!
 
cgunner said:
… The first equation is for a slope of -3 throught he point (2, -1) …


Do you know how to plot the point (2, -1) ?

If so, then plot it. If not, then let me know.

Next, do you know?

Slope can be interpreted as "rise over run".

If the slope is -3, then we can write it as -3/1.

The "rise" is -3, and the "run" is 1, because we have -3 over 1 (-3/1).

Start at the point (2, -1) and "run" to the left 1 unit and "rise" down 3 units.

You should now be at the point (3, -4). Plot a point there, too.

Draw a straight line through the two points you've plotted, and you're done.

The other lines are graphed in the same way.

Please let me know if you do not understand the concept of "rise over run" (i.e., moving horizontally [left or right] for the "run", and moving vertically [up or down] for the "rise").

 
I graphed it out as you described. I "ran" -1 to the left and "rose" down -3, I ended up at (1, -4) not at (3, -4) as you indicated I should. Did you mean that I should "run" right, not left?
 
Slope of -3/1 is (-3)/(+1). From the starting point go down 3 and from there go right 1. Or -3/1 is (3)/(-1). From the starting point go up 3 and from there 1 to the left. If you do both, draw your line through the 3 points.
A slope of 2 is 2/1.
A slope of .05 is 5/100 or 1/20.
 
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