Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 9)
m =
=
= 2
Answer:
Step-by-step explanation:
0.2x + 2.7x - 8.1 = 6.9 + 1.1x
0.2x + 2.7x - 1.1x = 6.9 + 8.1
1.8x = 15
x = 15/1.8
x = 8.33
Answer:
The 4th answer, at the bottom.
Step-by-step explanation:
The first answer is proportional, because y is equivalent to .5x.
The second answer is also proportional, because the ratios are equivalent.
The third answer is also proportional, because the line goes through the origin.
The fourth answer isn't proportional, because the ratios aren't equivalent.
Answer:
Given a triangle ABC, Pythagoras' Theorem shows that:

Thus,

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.


Therefore when given the hypotenuse with endpoints at

We know that the third point of the right triangle will be at

and that the two side lengths will be defined by the absolute values of:

