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4 years ago

What is the slope-intercept form of the equation y – 7 = –5/2 (x + 4)?

Mathematics

2 answers:

Maru [420]4 years ago

7 0

The slope-intercept form is given below:
y – 7 = –5/2(x + 4)

y - 7 = -5x/2 - 10

y = -5x/2 - 3

Bas_tet [7]4 years ago

5 0

Y = -5/2(x + 4) + 7
y = -5/2x + (-10) + 7
y = -5/2x - 3

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Answer: 12 ft/s

Step-by-step explanation:

We are told the following function models Spot's height at time $t$ :

$h_{t}=-16t^{2}+20t$ (1)

And we are asked to find Spot's average rate of ascent, this means its velocity $V$ , which is calculated by:

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Where:

$h_{t=\frac{1}{2}$ is the height of Spot at time $t=\frac{1}{2}s$

$h_{t=0$ is the height of Spot at time $t=0 s$

$t_{f}=\frac{1}{2} s$ is the final time

$t_{o}=0 s$ is the initial time

So, firstly we need to calculate $h_{t=\frac{1}{2}$ and $h_{t=0$ :

$h_{t=\frac{1}{2}}=-16(\frac{1}{2})^{2}+20(\frac{1}{2})$ (3)

$h_{t=\frac{1}{2}}=6 ft$ (4)

$h_{t=0}=0 ft$ (5)

Substituting these values in (2):

$V=\frac{6 ft-0 ft}{\frac{1}{2} s-0 s}$ (6)

Finally:

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