Question

What is the linear equation for 3x+2y=62

Answer 1

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  3x+2y-62  = 0 and calculate its properties

Notice that when x = 0 the value of y is 31/1 so this line "cuts" the y axis at y=31.00000

  y-intercept = 62/2 = 31

When y = 0 the value of x is 62/3 Our line therefore "cuts" the x axis at x=20.66667

  x-intercept = 62/3 = 20.66667

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 31.000 and for x=2.000, the value of y is 28.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 28.000 - 31.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope = -3.000/2.000 = -1.500


1.Slope = -3.000/2.000 = -1.500 

2.x-intercept = 62/3 = 20.66667 

3.y-intercept = 62/2 = 31


I got sources from a few websites so excuse if something is weird/wrong.