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Answer:
-2/3
Step-by-step explanation:
To find the slope of the line connecting two points, divide the change in y by the change in x.
Change in y --> 4 - (-2) = 6
Change in x --> -3 - 6 = -9
Change in y ÷ change in x = 6 ÷ (-9) = -2/3
Slope = -2/3
Answer:
Step-by-step explanation:
Given:
Required
Multiply
The above can be written as
Split the above expression
Collect like terms
Apply first law on indices
Hence, is equivalent to
Answer:
It should be 4 or (0,4)
Step-by-step explanation:
The y-intercept is just where one of the lines of the graph crosses the y-axis, which in the picture shows it crosses at (0,4)
Answer:
x = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x + 1 = 3 - 2x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 6x + 1 = 3
- Subtract 1 on both sides: 6x = 2
- Divide 6 on both sides: x = 1/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(1/3) + 1 = 3 - 2(1/3)
- Multiply: 4/3 + 1 = 3 - 2/3
- Add/Subtract: 7/3 = 7/3
Here we see that 7/3 does indeed equal 7/3.
∴ x = 1/3 is a solution of the equation.
