Y - y1 = m(x - x1)
y - 5 = 2(x - 3)
y - 5 = 2x - 6
y = 2x - 1
answer: equation y = 2x - 1
Answer: B
Step-by-step explanation: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:
24x2+25x−47=(−8x−3)(ax−2)−53
You should then multiply (−8x−3) and (ax−2) using FOIL.
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce on the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.
The final answer is B.
Answer:
y = 2x - 9
Step-by-step explanation:
Use slope intercept form, y = mx + b
Plug in the slope, x, and y, then solve for b:
y = mx + b
1 = 2(5) + b
1 = 10 + b
-9 = b
Then, plug in b and the slope into y = mx + b
y = mx + b
y = 2x - 9
So, the equation of the line is y = 2x - 9
Given:
Side length of square = 2 in
To find:
The area of the square
Solution:
Area of the square:
Area = side × side
= 2 in × 2 in
Area = 4 in²
Therefore, the area of the square is 4 inches².
