Find the slope of the line below using rise/run.
2 answers:
Answer:
A.
Step-by-step explanation:
We have a picture of a line and are asked to find the slope using rise over run.
To solve, the answer is pretty much given to us, since one of the points on the line is (0,0), since this is a positive line, we can use the point right next to it, (3,2).
The formula of rise over run is , for an easier explanation as to what y2, y1, x2, and x1 is, just think of it as two points. (x1,y1) and (x2,y2).
In this case, (0,0) and (3,2)
Substitute the numbers for the formula :
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Answer:
k = - , k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = -
k - 2 = 0 ⇒ k = 2