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olya-2409 [2.1K]
3 years ago
15

i need help!!! write an equation in point-slope form of the line through point j(4, –4) with slope 4. a. y 4=4(x 4) b. y 4=4(x-4

) c. y-4=4(x 4) d. y 4=4(x-4)
Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0
Required equation is y - y1 = m(x - x1); where m = 4 and (x1, y1) = (4, -4)
y - (-4) = 4(x - 4)
y + 4 = 4(x - 4)
marta [7]3 years ago
4 0

Answer:

The equation of line passing through (4,-4) and having slope '4' is: y+4=4(x-4)

Step-by-step explanation:

The equation of a line passing through a point (x_{1},y_{1}) and having slope 'm' is given by:

y-y_{1} =m(x-x_{1})

Here we are given that the line passes through the point (4,-4) and having slope 4.

⇒   (x_{1},y_{1})=(4,-4)  and m=4

Hence, the equation of line is:

y+4=4(x-4)

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7 0
3 years ago
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Which equation is equivalent to log Subscript 3 Baseline (x + 5) = 2?
adell [148]

Answer:

The correct option is right-bracket squared 3 squared =x+5

Step-by-step explanation:

The equation is \log _{3}(x+5)=2

Option a: \log _{3}(x+5)=3^{2}

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Hence, option a is not equivalent to \log _{3}(x+5)=2

Option b: \log _{3}(x+5)=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Option c: x+5=3^{2}

This is possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option c is equivalent to \log _{3}(x+5)=2

Option b: x+5=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Thus, the correct option is c: x+5=3^{2}

Hence, the equation x+5=3^{2} is equivalent to \log _{3}(x+5)=2

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