Answer:
y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.
Step-by-step explanation:
write the equation y=mx+b
y2-y1/x2-x1 =(mx
2+b)
− (mx1+b)/ x2-x
1
=m(
x
2-
x
1)
/
x
2-x1
=m
(x
2
−
x
1
)/
x
2
−
x1
=
m
subract b from both sidws y-b-mx+b-b
You would subtract b from both sides, giving you y-b=mx. You have to get b isolated, so you'd subtract y from both sides, giving you -b=mx-y. The b is positive, so you'd multiply -1 to both sides, giving you b=-mx+y. By rearranging the letters you get b=y-mx. Simplifying
y + -1b = mx
Reorder the terms:
-1b + y = mx
Solving
-1b + y = mx
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-1y' to each side of the equation.
-1b + y + -1y = mx + -1y
Combine like terms: y + -1y = 0
-1b + 0 = mx + -1y
-1b = mx + -1y
b = -1mx + y
Simplifying
b = -1mx + y
divde each side x y/x=mx/x
With multiple variables and only one equation we won’t be able to fully solve the equation to a numeric answer, we can only rearrange it better to leave x by itself to satisfy this question.
First subtract the c from both sides of the equation to move c to the left side of the equation. Doing it to both side moves one variable out of the x side which we want to isolate.
y - c = mx + c - c
y - c = mx
Next to move the variable m, we divide both sides by m. Dividing mx by m, makes m/m = 1, which leaves us with x on its own side of the equation.
(y - c ) / m = mx / m
(y - c ) / m = x
rearranging the equation so x is on the left side and (y - c) / m is on the right side
x = (y - c) / m
This is the simplest way to find x with only one equation to go by and multiple unknown variables
simplify y-b/x=m
D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
M = y-(b/x) // - y-(b/x)
M+b/x-y = 0
b*x^-1 = -(M-y) // : b
x^-1 = (y-M)/b
-1 < 0
1/(x^1) = (y-M)/b // * x^1
1 = x^1*((y-M)/b) // : (y-M)/b
1/((y-M)/b) = x^1
x = 1/((y-M)/b)
x = 1/((y-M)/b)
