1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9
When you know your equation f(x) and they want you to find f(-4), it means that they want to know what f(x) is worth when x=-4
Therefore, you only need to plug in you x in the equation
f(x)=5x-2
f(-4)=5(-4)-2
=-20-2
=-22 (B)
Answer:
(4d - 3e)(10d - 3e)
Step-by-step explanation:
(4d - 3e)² + 6d(4d - 3e) ← factor out (4d - 3e) from each term
= (4d - 3e)(4d - 3e + 6d) ← collect like terms inside parenthesis
= (4d - 3e)(10d - 3e)
Answer:
C
Step-by-step explanation:
im not 100% sure but i beleive its C
