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2 years ago

In the equation y = X - 5, the y-intercept is

Mathematics

2 answers:

Semenov [28]2 years ago

8 0

-5 is the intercept since y=mx+b, b being the intercept.

DochEvi [55]2 years ago

4 0

Answer:

(0, -5)

Step-by-step explanation:

The y-intercept of a graph is where the graph of the function intersects the y-axis. This means that the x-coordinate of the point is zero. To find the y-intercept of a line, when given the equation of the line, substitute (0) in for (x) and solve the equation,

y = x - 5

x = 0

y = 0 - 5

y = -5

This gives the resulting point of (0, -5) for the y-intercept of the line.

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gladu [14]

Option C:

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Solution:

Given expression:

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}$

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$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}$

Using exponent rule: $\frac{1}{a^m}=a^{-m}, \ \ \frac{1}{a^{-m}}=a^{m}$

$$=\frac{-18 a^{-2} b^{5}a^{4} b^{6}}{-12 }$

$$=\frac{-18 a^{-2} a^{4} b^{5} b^{6}}{-12 }$

Using exponent rule: ${a^m}\cdot{a^n}=a^{m+n}$

$$=\frac{-18 a^{(-2+4)} b^{(5+6)}}{-12 }$

$$=\frac{-18 a^{2} b^{11}}{-12 }$

Divide both numerator and denominator by the common factor –6.

$$=\frac{3 a^{2} b^{11}}{2 }$

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}=\frac{3 a^{2} b^{11}}{2 }$

Therefore, $\frac{3 a^{2} b^{11}}{2 }$ is equivalent to the given expression.

Hence Option C is the correct answer.

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