Answer:
( - 6 , - 1 )
Step-by-step explanation:
Let's find the rule of that transformation:
1 + = 4 ⇒ = 3
9 + = 10 ⇒ = 1
Thus, the rule of given transformation is ( x + 3 , y + 1 )
So, the image of the point ( - 9 , - 2 ) is
( - 9 + 3 , - 2 + 1 ) = ( - 6 , - 1 )
2:15+2:31=4:46
4:46+1:16=5:62=6:02
6:02+2:56 =8:56pm or 20:56
Answer:
You have your x and y mixed up
Step-by-step explanation:
Look at your table. You labeled y1 and y2 where the x's are. y2 = 8, y1 = 4, x2 = 12 and x1 = 6. The slope then is (8-4)/(12-6) which is 4/6 or 2/3. You did run over rise instead of rise over run. Be careful. I see that a lot when I teach the concept to beginners.
The slope of the line connecting two points (<em>a</em>, <em>b</em>) and (<em>c</em>, <em>d</em>) is
(<em>d</em> - <em>b</em>) / (<em>c</em> - <em>a</em>)
i.e. the change in the <em>y</em>-coordinate divided by the change in the <em>x</em>-coordinate. For a function <em>y</em> = <em>f(x)</em>, this slope is the slope of the secant line connecting the two points (<em>a</em>, <em>f(a)</em> ) and (<em>c</em>, <em>f(c)</em> ), and has a value of
(<em>f(c)</em> - <em>f(a)</em> ) / (<em>c</em> - <em>a</em>)
Here, we have
<em>f(x)</em> = <em>x</em> ²
so that
<em>f</em> (1) = 1² = 1
<em>f</em> (1.01) = 1.01² = 1.0201
Then the slope of the secant line is
(1.0201 - 1) / (1.01 - 1) = 0.0201 / 0.01 = 2.01
4-7x=5
+7x +7x
4= 12x
/12 /12
x= 4/12
x= 1/3
