- 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>
The discriminant is b²-4ac
when the discriminant is 0, there is only one solution.
Answer:
(x) = 4
Step-by-step explanation:
3/4 (x) + 4 = 7
3/4 (4) + 4 = 7
0.75 (4) + 4 = 7
3 + 4 = 7
7 = 7
Answer:
y + 8
Step-by-step explanation:
Smaller number = y (Given)
Larger number - smaller number = 8
Larger number - y = 8
Larger number = y + 8
Verification:
y + 8 - y = 8
Answer:
LCM = 117
Step-by-step explanation:1. Find the prime factorization of 9. 9 = 3 x 3 2. find the prime factorization of 13. 13 = 13 3. Multiply each factor the greater number of times it occurs in steps 1) or 2) above to find the lcm: 3 x 3 x 13 = 117. Hope it helped.