Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Simplifies to y=2x-12. slope intercept form is y=MX+b where m is slope and b is intercept do slope 4 and y intercept is -12
I’m not sure how to explain it but the answer is B
point slope form
y-y1 = m(x-x1)
y-9 = 2(x-1)
change to slope intercept form
y-9 = 2(x-1)
distribute
y-9 = 2x-2
add 9 to each side
y = 2x-2+9
y = 2x+7
Option A
-x + 6y = 42 is the standard form
<u>Solution:</u>
Given that we have to write 
in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Given equation is:
Let us convert the above equation into standard form
Make the denominator same in R.H.S
Solve the above equation
Move 6 from R.H.S to L.H.S
Bring all the terms to one side, leaving only constant on R.H.S
The above equation is of form Ax + By = C
Thus option A is correct
