Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
Answer:
<em>(D). x = 2 , y = - 5</em>
Step-by-step explanation:
A = - 8 + 48 = 40
= -76 + 156 = 80
= 104 - 304 = - 200
<em>x =</em>
= <em>2</em>
<em>y =</em>
= <em>- 5</em>
<u><em>( 2, - 5 )</em></u>
Answer:
8 OR -8 OR Both
Step-by-step explanation:
-2 x 4 = -8
-8 x -8 x -8 = -64
Square root = 8 OR -8
1 to the 9th power = 1
-8 / 1 = -8
8/1 = 8
Hope that helps!
Y is -2.08
Hope that helps!!!
midpoint of AB (M)=(1,4)=(x,y)
COOrdinates of A=(-3,-6)=(X1,Y1)
coordinates of B=?
using midpoint formula,
X=(X1+X2/2)
or,1=(-3+X2/2)
or,2=-3+X2
or,2+3=X2
5=X2
<h2> And</h2>
Y=(Y1+Y2/2)
or,4=(-6+Y2/2)
or,4×2=-6+Y2
or,8+6=Y2
14=Y2
so,co-ordinates of B are(5,14).
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