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 ) = (- 5, - 7) and (x₂, y₂ ) = (5, 1)
m =
=
=
, thus
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 1), then
1 = 4 + c ⇒ c = 1 - 4 = - 3
y =
x - 3 ← equation of line
Answer:

Step-by-step explanation:
Given


Solving (a) and (b):
See attachment for plot and labelled vertices
Solving (c): The area
This is calculated using:

Where:
-- 
-- 
-- 
This gives:



This gives


Equation of line is y=mx + c
where c is y-intercept and m is slope.
Sub (3,1) and slope into equation:
1 = -2(3) + c
1 = -6 + c
c = 7
Thus, equation is y = -2x + 7
Ans is (a)
Answer:
m∠TUW = 90, m∠VUR = 130, m∠VUW = 50
Step-by-step explanation:
Supplementary angles add up to 180!