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FinnZ [79.3K]
3 years ago
15

identify the coordinates of four points on the line with each given slope and y-intercept. slope=-1 and that y-intercept=8

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

Answer:

[-1, 9], [-2, 10], [-3, 11], [1, 7]

Step-by-step explanation:

Starting from the y-intercept of [0, 8], I did <em>rise</em><em>\</em><em>run</em><em> </em>by moving one block <em>north</em><em> </em>over <em>one</em> block <em>west</em><em> </em>for the first three coordinates, but retracing back to the y-intercept, I moved one block <em>south</em><em> </em>over <em>one</em> block <em>east</em> for the last coordinate. It does not matter where you go, as long as you follow the pattern within this <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>].

I am joyous to assist you anytime.

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Tell whether the data in the table can be modeled by a linear equation. Explain.
anastassius [24]

Answer:

y = -3x + 7

Step-by-step explanation:

Choosing two points from the given table:

Let (x1, y1) = (-3, 16)

(x2, y2) = (-1, 10)

Plug these given values into the slope formula:

m = (y2 - y1)/(x2 - x1)

   = (10 - 16) / (-1 - (-3))

   = -6 / (-1 + 3)

   = -6/2

   = -3

Therefore, the slope is -3.

Next, choose one of the points and plug into the <u>point-slope form</u>:

Let's use (-1, 10) as (x1, y1):

y - y1 = m(x - x1)

y - 10 = -3(x - (-1))

y - 10 = -3(x + 1)

y - 10 = -3x - 3

Add 10 on both sides to isolate y:

y - 10 + 10 = -3x - 3 + 10

y = -3x + 7

8 0
2 years ago
Substitution and elimination
nlexa [21]
Whats The Question ????
3 0
3 years ago
Slater begins saving for college tuition. He invests $1000 in an account that pays 2.5% simple interest. How many years before h
Brrunno [24]
The formula is Interest = principle times rate times time in years.
                        I=prt        

p=1000
r= 0.025
t=x

To find the amount of interest that is earned in a specific time frame, subtract the final amount of money by the principal. 1500-1000=500.

500 = 1000(0.025)x
500 = 25x   
x= 20 years
 
6 0
3 years ago
y = -16x2 + 32x - 10 This parabola has x-intercepts, representing the times when the dolphin's height above water is feet.
Lina20 [59]
Answer: This parabola has 0.3875 x-intercepts,
<span>representing the times when the dolphin's height above water is </span>
0 feet.

The x-intercept is the point where the graph crosses the x-axis, which is when the value is y=0. 
The calculation for y=0 would be
<span>Y = -16x2 + 32x - 10
</span><span>0 = -16x2 + 32x - 10
</span>-8x2 + 16x - 5=0

-b +-√(b^2-4ac)  /2a=
-16 +-√(16^2-4(-8)(-5))  /2(-8) =
-16+- √(256-160/ -16 =
-16+- √(96/ -16 =
-16+- 9.8/ -16 =
x1= 0.3875
x2= -1.6125
6 0
3 years ago
Read 2 more answers
PLS HELP ASAP PLZ PLZ PLZ
KIM [24]
I am unsure about the very last problem but I can help with the first two

1) (y+1)+4

If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.

This would give us

y + 5 =

2) (6*r)*7

remember that we do not have to explicitly state 6*r

Instead, we can write it as 6r

this helps us get rid of the parentheses

now we can write it as 6r * 7=

I hope this helps!:)

6 0
2 years ago
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