Estimate 137,638 + 52,091=
2 answers:
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The piece-wise linear functions can be written as follows:
.
.
.
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
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The slope of line passing through the points (1, -5) and (4, 1) is 24
Step-by-step explanation:
Slope is the steepness of a line passing through given points
Given points are:
(x1,y1) = (1, -5)
(x2,y2) = (4,1)
The slope is denoted by m. The formula for slope is:
The slope of line passing through the points (1, -5) and (4, 1) is 2
Keywords: Slope, Calculation of slope
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