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

Question

I'mI am confused as to how to transform linear equations.

Answer 1

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. 

Answer 2

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!

Answer 3

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.