Hey there!
To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.
Let the line that we are trying to determine its equation be
and the line that is parallel to
be
.
passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:
⇒Subtitute the values :

.
Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:
Slope-Intercept Form:
We know that the coordinates of the point (0 , -3) verify the equation since it is on the line
. Now, replace y with -3 and x with 0:

Therefore, the equation of the line
is 
▪️Learn more about finding the equation of a line that is parallel to another one here:
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Answer:
(2,-5)
Step-by-step explanation:
The vertex form is
and has vertex (h,k). Remember h is the opposite value of the value in the equation.
This means
has vertex (2,-5)
Answer:
70
Step-by-step explanation:
Answer:
Step-by-step explanation:
To solve this you need the Law of sines
- sin A / a = sin B / b = sin C / c
a, b, c are the sides opposite to angles A, B and C respectively
Applied to the given triangle we have one side given, the opposite angle to be found.
- sin 28 / x = sin (180 - 28 - 126) / 8.2
- sin 28 / x = sin 26 / 8.2
- x = 8.2 sin 28 / sin 26
- x = 8.8 (rounded)
The answer would be f=-20