Write the slope-intercept form of the line given point and slope. ( show work if possible please)

Mathematics

1 answer:

irakobra [83]2 years ago

3 0

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

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Answer:

$f(x)=\frac{1}{x-7}-3$ , see the graph attached for a visual reference.

Step-by-step explanation:

Vertical asymptotes are only present in rational functions where the parent function $f(x)=\frac{1}{x}$ has a vertical asymptote at the line $x=0$ and a horizontal asymptote at the line $y=0$ . Because the vertical asymptote has to be $x=7$ , the denominator must be x-7 in order for the denominator to equal 0. For the horizontal asymptote to be $y=-3$ , then 3 must be subtracted from the rational function. Therefore, the function that has these asymptotes is $f(x)=\frac{1}{x-7}-3$ .