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# how do I convert 6x- y=-5 so that I can graph it?

how do I convert 6x- y=-5 so that I can graph it?

1. Two different variables are present: X and Y

2. Remember that you want the following format: y = mx + b

6x- y=-5

- y=-5 - 6x        Subtract 6x to bring it to right side of equation

y=5 + 6x  Divide -1 at both sides of equation to bring -1 to right side

y=6x +5        --------> y = mx + b

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2 OPTIONS FOR GRAPHING

OPTION 1:
Choose any number for x, plug it into y = mx + b eqn and get y value. You get a point.

Example)     If guess x=2 ---->  y = 6(2) + 5  ----> y = 17  ----> point (2,17)

If guess x=0 ---->   y = 6(0) + 5 ----> y = 5   -----> point (0,5)

Since mx + b = y is the equation form of a line, you need 2 points atleast to graph!

OPTION 2: Use mx+b=y equation form to find slope and intercept and graph

Example)      mx+b=y equation is y = 6x +5

Y-intercept (b): Number adding to x value is 5. Point in y-axis crossed by line of equation

(0,5)

Slope (m): Coefficient of x (number multiplying x) is 6 = 6/1. Change in y over change in x

Move vertically up 6 and right 1 from (0,5)

Line: You come to another point away from (0,5) and you draw line through these two points

To graph an equation in standard form, you don't need to convert it to the slope-intercept form. Just pick any two points, and graph a line through the two points.

Pick x = 0, then y = 5

Pick y = -1, then x = -1

Draw a line through (0, 5) and (-1, -1). You are done!

better to chopoints or more points.  however, the question is how to change the equation

1/5/2013

again AT LEAST 2 points.  Best to havon three to check.

1/5/2013

Solve for y as a function of x, as follows:

6x-y=-5

-y=-6x-5.  (subtract 6x from each side

y=6x+5     (multiply equation by -1)

then use y=mx+b.     b is the y-intercept.   (0,5).  where the graph passes through the y-axis

and the slope (m) is 6/1.  (change in y over change in x). start at the point (0,5), and find the next points by moving up 6, and right 1 at least two times.

choose 3 or more points

1/5/2013

You should know that two points determine a straight line. Drawing more points just wastes time.

1/5/2013

yes, but any 2 points will make a straight line.  Best to have at least three points in case one of the original points is wrong.  For example, what if you made a mistake on one of the first two points.  They would still make a straight line.  The time to check is not a waste of time.

1/5/2013

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