2 years ago

Math vocabulary what is The definition of increasing and decreasing functions

1 answer:

8 0

Increasing function is any function whose value increases with respect to an increase in the variables.

Decreasing function is any function whose values are decreases with respect to an increase in the variables.

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Graph the following features: Y-intercept = -2 Slope = -3

SVEN [57.7K]

Slope intercept formula
Y=-3x-2
Plot a point at the intercept (0,-2)
Then go down 3 over 1 and plot another point (1,-5) then connect with a line

6 0

2 years ago

Consider the line 5x-8y=8 what is the slope of a line perpendicular to this line what is the slope of a line parallel to this li

Sophie [7]

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{Convert the equation to the slope-intercept form}\ y=mx+b.\\\\5x-8y=8\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-8y=-5x+8\qquad\text{divide both sides by (-8)}\\\\y=\dfrac{5}{8}x-1\to m_1=\dfrac{5}{8}\\\\perpendicular:\ m_2=-\dfrac{1}{\frac{5}{8}}=-\dfrac{8}{5}\\\\parallel:\ m_2=\dfrac{5}{8}$