Hello
so when finding a parallel line both lines need to have the same slope, the slope of the line from the given equation is -2.
then we use the point slope formula to find the equation of the line that passes through (1,5).
y-5=-2(x-1)
y-5=-2x+2
y=-2x+7
hope this helps!
have a nice day :)
Answer:
458
Step-by-step explanation:
Step-by-step explanation:
Part A: Linear Equation.
- One of the points is (0,15). This means 0,15 is the y intercept so b=15.
We can find the slope

So our equation is

Part B: Exponential Equation
We know that

B to the zero power is 1 so

This means a =15. Now let find b.


So the equation is

Ok so parallel equations mean they have equal slope, but different y intercepts. Here, we can solve and get the equation:
y=2/5x-7/5
Answer:
1. AB ~= DF
2. Definition of Congruent
3. Reflexive Property of Congruency
4 BD=BD
6. AB+BD=AD; DF+BD=BF
7. Substitution Property of Equality
8. Definition of Congruent
Step-by-step explanation:
1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).
2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.
3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.
4. Remember if something is congruent then it is equal.
6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.
7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.
8. If two things are congruent then they are equal by definition of congruency.