Answer:
y = 1/2x + 1
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
Answer:
x = -1 y = 2
Step-by-step explanation:
Notice that the coefficients of x are opposites of each other. That makes the problem so much easier to solve. All you have to do is add the two equations and the x terms will be eliminated.
2x - 4y = -10
<u>-2x - y = 0</u>
- 5y = -10
y = 2 Substitute y = 2 into the first equation. 2x - 4(2) = -10
2x - 8 = -10
2x = -2
x = -1
It is always a good idea to check your results into the equations to see if they satisfy the equations.
<u> </u>
1. One Solution: Slopes:1 and -1 y-ints:1 and 2
2. Many: Slopes:1 and 1 y-ints:1 and 1
3. Undefined: Slopes:1 and 1 y-ints:1 and 2
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X^2+35=180?
Subtract 35 on each side
x^2=145
Take the square root
x= -sqrt(145)
+sqrt 145...
I hope this helps!!
