Answer:
Step-by-step explanation:
First you have to find the slope
M= y2-y1/ x2-x1.
6-4 / 8-7 = 2/1 or 2
Then you pick one set of coordinates and plug the information into the formula. It doesn't matter which set you use as long as you plug the information in correctly.
I will choose (6,4)
Slope intercept formula is y-y1 =m(x-x1)
Y-4=2(x-6)
Then you simplify.
Y-4=2x-12
+4. +4
Y=2x-8 is your solution.
Any perpendicular line has a negative reciprocal slope. So your slope would be 2. The. You would have the equation : y=2x+b. You would then replace the coordinate (5,6) with x and y on your line to solve for b. Your equation would be : y=2x-4
Answer:
*Assuming that the question should read '8 years less than 3 times Danielle's age'*
Equation: 3a - 8 = 34, where 'a' = Danielle's age
Danielle's age (a) = 14
Step-by-step explanation:
Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.
Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as: 3a - 8. We also know her aunt is 34. So, the equation becomes:
3a - 8 = 34
Add 8 to both sides: 3a - 8 + 8 = 34 + 8 or 3a = 42
Divide both sides by 3: 3a/3 = 42/3
Solve for a: a = 14, so Danielle's age is 14 years old.
