Answer:
Same
Step-by-step explanation:
Answer:
The equation that represents the new path is y=(1/3)x+4
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-3x-6
so
the slope m is equal to
m=-3
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-3 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/3
step 3
With m=1/3 and the point (-3,3) find the equation of the line
y-y1=m(x-x1)
substitute
y-3=(1/3)(x+3)
y=(1/3)x+1+3
y=(1/3)x+4 -----> equation that represent the new path
Y = 4/3(x) + 1/3
Divide both sides by 3
By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
<h3>What kind of function represents the graph?</h3>
Graphically speaking, <em>linear</em> functions represent lines and we see that the line seen in the figure presents two bounds, the points (- 6, 0) and (9, 7). <em>Linear</em> functions are characterized by slope and intercept:
y = m · x + b (1)
Slope
m = (7 - 0)/[9 - (- 6)]
m = 7/15
Intercept
b = 4
By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
To learn more on linear functions: brainly.com/question/14695009
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