Which function below has the largest slope?

Mathematics

1 answer:

DENIUS [597]4 years ago

7 0

Answer: f(x) has the largest slope

Step-by-step explanation: g(x) has a slope of 1/2 since in the equation y=mx+b, m is always the slope.

h(x) has a straight slope of 1 since he gains one level each time he plays

And finally f(x) has a slope of 3/2 because every time x increases by 2, y increases by 3

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$\text{Let}\\k:\ A_1x+B_1=C_1\\\\l:\ A_2x+B_2y=C_2\\\\\text{then}\\\\k\ \parallel\ l\iff A_1=A_2\ \wedge\ B_1=B_2\\==========================$

$\text{We have the equation:}\ 2x+4y=6\\\\\text{Therefore the equation of a parallel line is:}\ 2x+4y=C\\\\\text{Put the coordinates of the given point to the equation and solve for}\ C:\\\\(6,\ 4)\to x=6,\ y=4\\\\C=2(6)+4(4)\\C=12+16\\C=28\\\\\text{The equation in the standard form:}\\\\2x+4y=28$

$\text{Convert to the slope-intercept form}\ y=mx+b:\\\\2x+4y=28\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\4y=-2x+28\qquad\text{divide both sides by 4}\\\\y=-\dfrac{2}{4}x+\dfrac{28}{4}\\\\y=-\dfrac{1}{2}x+7$

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Which function below has the largest slope?​

Which function below has the largest slope?