2 years ago

What is the slope of the line?

Mathematics

2 answers:

NARA [144]2 years ago

8 0

Answer:

y = 2x - 3

Step-by-step explanation:

Since the line is going 2 down and 1 left. The slope is 2.

The line crosses the y-intercept at -3.

y = 2x - 3

11111nata11111 [884]2 years ago

6 0

Answer:

m = 2

Step-by-step explanation:

You have to use the slope formula and insert your points into the formula. Your formula should have turned into 0 - (-3)/1.5 - 0. If you simplfy your equation your get m(slope)=2.

Hope this helps! :D

-Luna

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Consider the following equation f(x)=(x^2+4)/(4x^2-4x-8)

kifflom [539]

Question:

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

Answer:

The vertical asymptotes are x = 2 or x = -1

Solution:

Given that,

$f(x)=\frac{x^2+4}{4x^2-4x-8}$

For vertical asymptotes, set the denominator to zero and then solve the quadratic equation

$4x^2-4x-8=0\\\\Divide\ by\ 2\\\\x^2 - 2x - 4 = 0$

$Split\ the\ middle\ term\\\\x^2+x-2x-2=0\\\\Group\ the\ equation\\\\(x^2 + x) - (2x + 2) = 0\\\\Factor\ the\ common\ term\\\\x(x + 1) - 2(x + 1) = 0\\\\(x + 1)(x - 2) = 0\\\\Therefore,\\\\x + 1 = 0\\\\x = -1\\\\And\\\\x - 2 = 0\\\\x = 2$