Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 7)
m = =
= 1, hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (1, 4), then
4 = 1 + c ⇒ c = 4 - 1 = 3
y = x + 3 ← equation in slope- intercept form
Answer:
Paul might have written the expression .
Step-by-step explanation:
Given:
Length of the leg 1 = a
Length of the leg 2 = b
Hypotenuse = h
We need the expression Paul has written:
Solution:
Now we know that;
The figure sketched by Paul is a right angle triangle.
Now by Pythagoras Theorem which states that;
"The square of the length of the hypotenuse is equal to sum of the square of the length of the legs."
equation can be framed as;
Hence Paul might have written the expression .