mrs.jackson gives the table below to her students in order for the function to be linear what must m be and why?

1 answer:

7 0

M or the slope has to be constant throughout the graph. This is because in order for a line to be linear it has to be increasing or decreasing at the same rate. So it the slope was 2 from point x 1 -2 then the slope changed to 1 from 3-4 it would not be linear. :)

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miskamm [114]

Answer:

2 and - $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 6x + 9 ( divide all terms by 3 )

y = 2x + 3 ← in slope- intercept form

with slope m = 2

(i)

Parallel lines have equal slopes, thus

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(ii)

Given a line with slope m then the slope of a line perpendicular to it is

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Yuri [45]

Answer:

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Step-by-step explanation:

Let the speed downhill be $x$ ,

Speed uphill is $0.5x$ . We are told than speed uphill is $\frac{2}{3}$ the speed on flat ground. Therefore the speed on level ground will be $\frac{0.5x}{2/3}=0.75x$ .