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brayden5418
15.01.2021 •
Mathematics
A function represented by the equation y=1/3x + 4 is a graph on a coordinate plane. What will happen to the line if the slope is changed to 2/3?
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Ответ:
Graph of the new function will be vertically stretched by 2 units.
Step-by-step explanation:
A linear function is represented by the equation, y =![\frac{1}{3}x+ 4](/tpl/images/1040/3452/b882c.png)
This function has the slope =
and y-intercept = 4
If this function is stretched vertically by 'k' the the equation of the new function will be,
y =![a(\frac{1}{3})x+ 4](/tpl/images/1040/3452/52bb0.png)
y =
---------(1)
If the slope of this equation is changed to
,
New equation of the function will be,
y =
---------(2)
Comparing equations (1) and (2),
a = 2
Therefore, graph of the new function will be stretched vertically by 2 units.
Ответ: