How do you write a short paragraph And solve any simple y=mx+b equation ?How to solve any simple y=mx+b equation and how would you write it in a short paragraph

Expert Answers
sciencesolve eNotes educator| Certified Educator

You need to know that `y = mx+b`  represents the slope intercept form of equation of a line, such that:

`m`  represents the slope of the line

`b ` represents y intercept

You need to solve for x the equation `y = mx + b` , hence, you need to isolate the term that contains `x`  to the left side, such that:

`-mx = -y + b`

You need to multiply by `-1`  such that:

`mx = y - b`

Dividing by m yields:

`x = (y - b)/m`

Hence, evaluating the solution to the given equation `y = mx + ``b` , if `m,b!=0` , yields `x = (y - b)/m` .

If you need to sketch the graph of the function, you need to have at least two points, hence, you may find `x`  and `y`  intercepts, such that:

`x ` intercept => `y = 0 => mx + b = 0 => mx = -b => x = -b/m`

The graph intercepts `x`  axis at `(-b/m,0).`

y intercept

`x = 0 => m*0 + b = y => y = b`

The graph intercepts `y ` axis at `(0,b).`

Notice that if the slope `m`  is negative, the line descends and if the slope is positive, the line goes up.

akshaygoel96 | Student

The equation of a straight line is usually written this way:

y = how far up

x = how far along

m = Slope or Gradient (how steep the line is)

b= the Y Intercept (where the line crosses the Y axis)y= how far up

how you find m = change in y / change in x

Example 1

m  =  2   1  =  2
b = 1 (where the line crosses the Y-Axis)

Therefore y = 2x + 1