Hi there! :)
Answer:
Given line with an equation of y = 4x + 3
Parallel lines contain equivalent slopes, so a parallel line to the given equation would contain a slope of m = 4.
Plug in the coordinates of the point given, along with the slope into the equation y = mx + b where:
m = slope
y = y-coordinate of point
x = x-coordinate of point
Solve for the 'b' value, or y-intercept:
y = mx + b
6 = 4(2) + b
6 = 8 + b
b = -2
Rewrite the equation as slope-intercept form:
y = 4x - 2
5x-17=5x-20
+17 +17
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5x=5x-3
-5x -5x
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The answer ends up being -3 because 5x is cancelled out leaving you with -3 as your answer.
Answer:
see below
Step-by-step explanation:
The square root function produces a non-negative output for a non-negative input. When its output is negated, it produces a non-positive output for a non-negative input.
The input (domain) is from 0 to infinity: [0, ∞).
The output (range) is from negative infinity to zero: (-∞, 0].
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A graph of the function is included for your convenience.
