Which is a correct first step for solving this equation? X+7=2x+5-4x
2 answers:
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Using the distance formula, the distance from:
School to Library (SL) = 5 units.
Library to Park (LP) = 10 units.
<h3>What is the Distance Formula?</h3>To calculate the distance between two points on a coordinate plane, the distance formula used is: .
Given the coordinates of each location as:
- School, S = (0, 4)
- Library, L = (4, 1)
- Park, P = (-4, -5)
Distance from School to Library (SL):
SL = √[(4−0)² + (1−4)²]
SL = √[(4)² + (−3)²]
SL = √25
SL = 5 units
Distance from Library to Park (LP):
LP = √[(4−(−4))² + (1−(−5))²]
LP = √[(8)² + (6)²]
LP = √100
LP = 10 units
Learn more about the distance formula on:
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Each time x goes up by 1, y also goes up by 1 as well.
slope = rise/run = 1/1 = 1
Or we can use the slope formula to get
m = (y2-y1)/(x2-x1) = (3-2)/(2-1) = 1/1 = 1
I used the first two rows as the points to plug into the slope formula.
You can pick any two rows you want and you'll get the same slope value.
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Because we get the same result of 1 each time, this means the rate of change is <u>constant</u> and this function is <u>linear</u>. Plotting all four points will show a single straight line goes through all of them. See diagram below.
