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3 years ago

15

Given the point (4,5) and the slope is 6, find y when x=24

2 answers:

Mariulka [41]3 years ago

6 0

Use the point-slope form
y-y1=m(x-x1)
Substitute
y-5=6(x-4)
Distribute
y-5=6x-24
Add 5 to both sides
y=6x-19
Substitute x with the given value
y=6(24)-19
Solve for y
y=125

Fudgin [204]3 years ago

3 0

<span>Given the point (4, 5) and the slope of 6, find y when x = 24.

Form: y = mx + b
5 = 6*4 + b
b = -19

f(x) = 6x - 19

Your Problem:
f(24) = 6*24 - 19
f(24) = 144-19 = 125

Cheers</span>

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$x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}$

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$x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

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