Answer:
the y-intercept is 10
Step-by-step explanation:
Angle three is equal to angle 5
gradient or slope=<u>y2 -y1</u>
x2 - x1
so for A, p is x1 and 3 is y1..
For B, 6 is x2 and p is y2
2= <u>p - 3</u>
<u> </u><u> </u><u> </u><u> </u><u> </u>6 - p
2 ( 6 - p) = p - 3
12 - 2p = p - 3
-2p + p = -3 - 12
-p = - 15
p = 15
Y = -3x + c
Using (1,-5):
-5 = -3(1) + c
c = -5 + 3(1) = -2
Therefore:
y = -3x - 2
Answer:
x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
1/2(8x - 4) = 2x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 1/2: 4x - 2 = 2x
- [Subtraction Property of Equality] Subtract 2x on both sides: 2x - 2 = 0
- [Addition Property of Equality] Add 2 on both sides: 2x = 2
- [Division Property of Equality] Divide 2 on both sides: x = 1
