A rectangular garden has length and width as given by the expressions below.
1 answer:
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Answer:
y = - x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line
m = = -
Note the line crosses the y- axis at (0, 4) ⇒ c = 4
y = - x + 4 ← equation of line
For making mathematical induction, we need:
- a base case
An for which the relation holds true
- the induction step
if its true for , then, is true for
the relationship is not true for 1 or 2
but, is true for 3
lets say that the relationship is true for n, this is
lets add 4 on each side, this is
now
if then
, so
and this is what we were looking for!
So, for any natural equal or greater than 3, the relationship is true.