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Posted: 12/14/2013 4:23:19 PM EDT
Any help is appreciated. Also, if you could show your work for the problem that would be great.

The instructions read:

Write the equation in slope intercept form, then find the slope and the y intercept. Finally, draw the graph.

The slope intercept form of the equation is ____________

The slope is ___________ and the y intercept is (__,__)

The equation is:

6x + 7y = 22

So far I have gotten:

6x + 7y = 22

7y = -6x + 22

y = - (6/7)x + 22/7

slope intercept form of the equation is y = -(6/7)x + 22/7

slope is -(6/7)

How would I graph the slope of -(6/7) and the y intercept of 22/7?

Link Posted: 12/14/2013 6:22:17 PM EDT
[#1]
Quoted:
Any help is appreciated. Also, if you could show your work for the problem that would be great.

The instructions read:

Write the equation in slope intercept form, then find the slope and the y intercept. Finally, draw the graph.

The slope intercept form of the equation is ____________

The slope is ___________ and the y intercept is (__,__)

The equation is:

6x + 7y = 22

So far I have gotten:

6x + 7y = 22

7y = -6x + 22

y = - (6/7)x + 22/7

slope intercept form of the equation is y = -(6/7)x + 22/7

slope is -(6/7)

How would I graph the slope of -(6/7) and the y intercept of 22/7?

View Quote


Put a dot just above the 3 on the Y axis.  The line is gonna go from top left to bottom right...for 1 Y , you go down almost 1 X (6/7 of an X).
Link Posted: 12/15/2013 8:53:56 AM EDT
[#2]
Slope-intercept form is, in my opinion, the best form for an equation to be in when you want to graph it.

Your y-intercept is the point at which your line crosses the y-axis. In this case, it is 22/7, or just over 3. Remember that all along the y-axis, x is equal to 0. The coordinate of your intercept is (0, 22/7), for example. So, to find your y intercept, set x = 0. You'll be left with y = 22/7. This is WHY the slope-intercept is b in y = mx + b. When x = 0 (on the y -axis), y = b

When the equation is in slope-intercept form, it's easiest to just say the intercept is b in y = mx + b.

We found the y intercept by setting x = 0. Can you find the x intercept? The process is very similar.


For your slope, remember that slope represents RISE / RUN. A slope of -6/7 means RISE -6, or go down six lines, run +7, or go to the right 7 lines. From your y-intercept, drop down 6, right 7, and make another dot. Connect those two dots and you have your line.

Check your calculated x-intercept with the one you just graphed.
Link Posted: 12/17/2013 1:50:20 PM EDT
[#3]
The previous two posters are correct.

y-intercept form is y = mx + b where b is any real number. "b" is the intercept and m is the slope.

To find the y intercept, find the point "b" on the y axis and place a small dot there.

Now for the slope: This method depends on the scale of your axis, but works no matter what. So your slope is -6/7 which is -.857. Take a ruler and go down from your "b" point 0.857 units, and over 1 unit (in the pos. x direction) and place a dot there. Then you can draw a line with a ruler between the two points and voila! You have a line.

Think of it like drawing a triangle. You have drawn the first dot, and drawing the "b" dot makes the first leg. Drawing the third dot (1 unit over on the x axis) makes the second leg. Using the ruler, you then draw the hypotenuse.

-TNT
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