Y=mx+b
m=slope
b=yintercept
given
y=-2x+3 and
y=-4x-1
first equation is slope -2 and yintercept 3
second is slope -4 and yintercept -1
3rd option
Answer:
The statement is always TRUE
Step-by-step explanation:
An equilateral triangle has all angles and all sides equal
The sum of angles in a triangle is 180 degrees.
Let each of the angles be x degrees.
Then we solve the following equation for x.



I got 5.5 but I could for sure be wrong :/
H = height of triangle
b = length of triangle base
A = area of triangle
Recall the formula for area of a triangle :
A = 1/2 bh
Plug in what was given in the problem :
h = b - 5
A = 42
A = 1/2 bh
42 = 1/2 b (b-5)
Given
Endpoints of the diameter (5,2) and (-7,4)
Step One
Find the center
Center = (x2 + x1)/2 , (y2 + y1)/2
x2 = -7; x1 = 5; y2 = 4; y1 = 2
Center = (-7 + 5)/2 ; (4 + 2)/2;
Center = (-1 , 3)
Step Two
Find the radius squared using the distance formula. Use (5,2) as the second point. The other point is the center.
Distance squared = (5 - - 1)^2 + (2 - 3)^2
Distance squared = ( 6)^2 + (-1 )^2
Distance squared = 37
Step Three
State the circle's formula
(x - - 1 )^2 + (y - 3)^2 = 37
(x + 1)^2 + (y - 3)^2 = 37