30/5= 6
6 - 2 = 4
Your number is four
- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation: 
Next, divide both sides by -4 and your slope-intercept form of the original equation is 
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>
Given the function f, match the function g with a transformation of f.
f(x) = x2 + 1, g(x) = (x - 2)2 + 1
☆☆☆☆☆☆☆☆a) f(x + 2)
b) f(x) + 2
c) f(x) - 2
d) f(x - 2)
The transformation that occured was a horizontal shift to the right of all the x's.