Mathematics: Write the equation of the line in point-slope form

5 ftStep-by-step explanation:we know thatApplying the law of sinessubstitute the given valuessolve for g...

Write the equation of the line in point-slope

tayveon122

10.03.2022

17.

The point-slope form:

y-y_1=m(x-x_1)

We have slope=m=8, and the point (-5, -3). Substitute:

$y-(-3)=8(x-(-5))\\\\\boxed{y+3=8(x+5)}$

18.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (3, 4) and (15, 10). Substitute:

$m=\dfrac{10-4}{15-3}=\dfrac{6}{12}=\dfrac{1}{2}$

The point-slope form:

$\boxed{y-4=\dfrac{1}{2}(x-3)}$

$\boxed{y-10=\dfrac{1}{2}(x-15)}$

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tmrodriguez1

16.11.2022

5 ft

Step-by-step explanation:

we know that

Applying the law of sines

$\frac{f}{sin(F)}=\frac{g}{sin(G)}$

substitute the given values

$\frac{7}{sin(82^o)}=\frac{g}{sin(45^o)}$

solve for g

$g=\frac{7}{sin(82^o)}sin(45^o)=5\ ft$

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