Answer:
The correct answer is y = -3x + 1.
Step-by-step Explanation:
First, you need to use the point slope formula to determine the slope. This is determined by the formula of the second y-coordinate (the y-coordinate in the second ordered pair) minus the first y-coordinate (the y-coordinate in the first ordered pair).
When subtracting the two values, you receive 7 - -5. You would use the KCC (keep, change, change) rule and keep positive 7, change the minus to addition, and turn negative 5 into positive 5. This gives you a value of 12.
Then, you use the same formula layout for the x-coordinates. Take the x-coordinate in the second ordered pair and subtract the x-coordinate in the first ordered pair to get -2 - 2 = -4.
Finally, to determine the slope, divide 12 and -4 to get -3.
Then, to get the y-intercept placed at the end, you will need to substitute the coordinate values from one of the ordered pairs into the equation y = -3x + b. I chose to use the first ordered pair, so:
-5 = -3(2) + b (Multiply the slope by x to earn the new value)
-5 = -6 + b (Add the -6 to the -5 to isolate the b)
1 = b (b = 1) (Learn that b = 1)
Your final equation will be y = -3x + 1.
