Slope = (0 - 4) / (5-0) = -4/5
hope that helps
we have that

we know that
Triangles ABC and A'B'C' are similar
Step 
Find the distance AB and distance A'B' with the formula

a) distance AB



b) distance A'B'




Step 
Find the scale factor

therefore
the answer is
the scale factor of the dilation is equal to 
<span>3. (3b + 4x)(3a - 2) is correct.
Use FOIL to expand each factored form, only #3 will result in </span><span>9ab + 12ax - 6b - 8x</span>
Answer:
f(8) = 21
Step-by-step explanation:
First, identify the equation of the line using the form: f(x) =mx + c, where m is the gradient and c is the y-intercept (the constant)
To find gradient, use the rise over run formula: (y2 - y1)/(x2 - x1)
You can use any points but I am going to use (2,3) and (3,6)
(6 - 3)/(3 - 2)
3/1 = 3 (gradient of the graph is 3)
Hence the equation is simplified to: f(x) = 3x + c
Now we need to find the value for c. To do this, you sub in any point, and I am going to use (3,6)
6 = 3*(3) + c (rearrange it to make c on its own)
6 - 9 = c
c = -3
Hence the equation of the line is: f(x) = 3x - 3
So we are trying to figure out what f(8) equals. That means we sub in the value 8 where x is.
3*(8) - 3 = 21
f(8) = 21
Answer:
y = 2x.
Step-by-step explanation:
The slope of the line = (y2-y1)(x2-x1)
= (8 - (-4)) / (4 - (-2))
= 12/6
= 2.
Now the y intercept is at (0, 0) so
the equation is y = 2x + 0
Answer: y = 2x.