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3 years ago

write an equation of the line that passes through (-1,7) and is parrallel to the line whose equation is y=-2x-5

Mathematics

1 answer:

charle [14.2K]3 years ago

3 0

Answer:

See Below

Step-by-step explanation:

Ok, line needs to be parallel. Therefore, it should have the same slope.

y = -2x + b

Plugin the points and solve for y-intercept

(-1,7)

7 = -2(-1) + b

7 = 2 + b

-2 -2

5 = b

Plug it all in

y = -2x +5

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3 years ago

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3 years ago

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3 years ago

The table below shows selected points from a function.

FrozenT [24]

Answer:

Step-by-step explanation:

<em>Rate Of Change Of Functions </em>

Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula

$\displaystyle m=\frac{d-b}{c-a}$

If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.

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Now, we use the second and the third point (2,4) (3,9)

$\displaystyle m=\frac{9-4}{3-2}=5$

This difference in values of the slope is enough to state the function is non-linear

Answer: True

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3 years ago