Okay first you need to do distribute the -3 to remove the parentheses:
y - 4 = -3x + 9
Then you need to move -4 to the right by adding on both sides
y = -3x + 9 + 4
The answer is —> y = -3x + 13
The answer would be C. (4,-1)
Equation of the circle:

Step-by-step explanation:
The equation of a circle is given by

where
are the coordinates of the center of the circle
r is the radius of the circle
For the circle in this problem, we know that:
(5,4) are the coordinates of the center
We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

Therefore, the equation of the circle is:

Learn more about circles:
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Answer:
y=-2x+12
Step-by-step explanation:
This is an equation in slope-intercept form:
y=mx+b (where m is the slope and b is the y-intercept)
We are given the slope, -2.
y=-2x+b
We plug in the values (5,2):
2=(-2)*5+b
2=-10+b
b=12
The equation is:
y=-2x+12
I’m sorry I’m wasting an answer but I’m having some technical issues with Brainly so I will try answering a question to see if it works