So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
Answer:
The Answer is: y = 2/3x - 2/3
Step-by-step explanation:
Given points: (4, 2) and (-2, -2)
Find the slope m:
m = y - y1 / (x - x1)
m = 2 - (-2) / (4 - (-2))
m = 2 + 2 / (4 + 2)
m = 4 / 6 = 2/3
Use the point slope form, substitute the point (4, 2) and solve for y to get the point slope form:
y - y1 = m(x - x1)
y - 2 = 2/3(x - 4)
y - 2 = 2/3x - 8/3
y = 2/3x - 8/3 + 6/3
y = 2/3x - 2/3
Proof:
f(-2) = 2/3(-2) - 2/3
= -4/3 - 2/3 = -6/3 = -2, giving (-2, -2)
Hope this helps!! Have an Awesome Day!! :-)
