y = 4x - 2
The equation of a line in ' slope- intercept form ' is
y = mx + c → (m is the slope and c the y- intercept )
To calculate m use the ' gradient formula '
m = (y₂ - y₁ )/(x₂ - x₁ )
let ( x₁, y₁ ) = (5, 18) and (x₂, y₂ ) = ( - 3, - 14 )
m = = = 4
the partial equation is y = 4x + c
to find c substitute either of the 2 given points into the partial equation
using (5 , 18) then 18 = 20 + c ⇒ c = 18 - 20 = - 2
y = 4x - 2 is the equation in slope- intercept form
Answer:
5715
Step-by-step explanation:
So this is just a guess but-
if one balloon can lift someone o the weight of 14 grams, then just divide 80010 by 14-
80010/14=5715
Answer: <u>This is only a guess! </u> 5715
Https://us-static.z-dn.net/files/d43/8774a5c2c75c2320f2c27ccdcacd8dd5.jpg
<h3>
Answer: (x,y) = (4,1)</h3>
In other words, x = 4 and y = 1
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Explanation:
Add the equations straight down.
- The x terms add to 3x because 2x+x = 3x
- The y terms go away when you add them since -y+y = 0y = 0
- The terms on the right hand sides add to 7+5 = 12
After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.
Use this x value to find y.
2x-y = 7
2(4)-y = 7
8-y = 7
-y = 7-8
-y = -1
y = 1
or
x+y = 5
4+y = 5
y = 5-4
y = 1
Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.
Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.
Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.