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nevsk [136]
3 years ago
15

The graph below shows a line segment XY: graph of line segment XY with endpoints at negative 1 comma 3 and 1 comma negative 1 Wh

at is the slope of the line segment XY?
Mathematics
2 answers:
yan [13]3 years ago
7 0
Slope = (y2 - y1) / (x2 - x1)
(-1,3)....x1 = -1 and y1 = 3
(1,-1) ...x2 = 1 and y2 = -1
now we sub
slope = (-1 - 3) / (1 - (-1) = -4/2 = -1/2 <==

dexar [7]3 years ago
6 0

Answer: -2

Step-by-step explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by :-

\text{Slope}=\dfrac{d-b}{c-a}

Given : The endpoints of line segment XY = (-1,3) and (1,-1)

Then , the slope of the line segment XY will be :-

\text{Slope}=\dfrac{-1-3}{1-(-1)}\\\\\Rightarrow\text{Slope}=\dfrac{-4}{2}=-2

Hence, the slope of the line segment XY = -2

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4 0
3 years ago
Read 2 more answers
X y
mario62 [17]
Let's prove each one:
A) y=x-3
x=0→y=0-3→y=-3=-3 ok
x=2→y=2-3→y=-1 different to 5 No

B) y=x+3
x=0→y=0+3→y=3 different to -3 No

C) y=4x-3
x=0→y=4(0)-3=0-3→y=-3=-3 ok
x=2→y=4(2)-3=8-3→y=5=5 ok
x=3→y=4(3)-3=12-3→y=9=9 ok
x=4→y=4(4)-3=16-3→y=13=13 ok

D) y=4x+3
x=0→y=4(0)+3=0+3→y=3 different to -3 No

Answer: Option C) y=4x-3
8 0
3 years ago
Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the st
Ronch [10]
From the table, the speed of Corinne is given by

speed=slope= \frac{2.5-1.25}{20-10} = \frac{1.25}{10} =0.125 \ miles / minute

From the graph, the speed of Aretha is given by

speed=slope= \frac{5.5-4.5}{20-10} = \frac{1}{10} =0.1 \ miles / minute

The distance from the starting point of Corinne at any time t is given by D = 0.125t while the distance from the starting point of Aretha at any time t is given by D = 3.5 + 0.1t

Let t be the number of minutes after the start of the race when Corinne catchs Aretha, then

0.125t = 3.5 + 0.1t
0.025t = 3.5
t = 3.5 / 0.025 = 140

Therefore, the number of <span>minutes after the start of the race that Corinne will catch Aretha</span> is 140 minutes.
6 0
3 years ago
Read 2 more answers
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