Question

how do you work out 3y-2x=-1
and workout m and c

Answer 1

Answer:

Slope = -1.333/2.000 = -0.667

 x-intercept = 1/2 = 0.50000

 y-intercept = 1/3 = 0.33333

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*y+2*x-(1)=0

Solve   3y+2x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+2x-1  = 0 and calculate its properties

Notice that when x = 0 the value of y is 1/3 so this line "cuts" the y axis at y= 0.33333

 y-intercept = 1/3  =  0.33333

When y = 0 the value of x is 1/2 Our line therefore "cuts" the x axis at x= 0.50000

 x-intercept = 1/2  =  0.50000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.333 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - 0.333 = -1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.333/2.000 = -0.667

Slope = -1.333/2.000 = -0.667

 x-intercept = 1/2 = 0.50000

 y-intercept = 1/3 = 0.33333

I hope you understood that and by the way I got the answer from https://www.tiger-algebra.com/.