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3 years ago

The equation of a line is y = 1.5x_2. What are it’s slope and y- intercet

Mathematics

2 answers:

Gelneren [198K]3 years ago

5 0

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▹ Answer

$Slope = 1.5\\\\Y-intercept = -2$

▹ Step-by-Step Explanation

(I'm assuming the underscore was meant as a minus sign)

$Slope \\equation \\\\ y = mx + b\\\\$

mx represents the slope and b represents the y-intercept.

Therefore:

1.5 is the slope, and -2 is the y-intercept.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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bija089 [108]3 years ago

3 0

Answer: the slope is 1.5 and the y-intercept is -2.

Step-by-step explanation:

Assuming you meant 1.5x-2 and accidentally pressed shift to turn - into _.

This equation is in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Thus, the slope is 1.5 and the y-intercept is -2.

Hope it helps <3

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<em>The value of b is 14 and the value of c is 65</em>

<h2>Explanation:</h2>

The quadratic function is a function of the form:

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Here we know that the leading coefficient $a=1$ so we reduce our equation to:

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$x^2+bx+c=0 \\ \\ First \ root: \\ \\ (-7+4i)^2+b(-7+4i)+c=0 \\ \\ (-7)^2-2(7)(4i)+(4i)^2-7b+4bi+c=0 \\ \\ 49-56i+16i^2-7b+4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49-56i+16(-1)-7b+4bi+c=0 \\ \\ 49-56i-16-7b+4bi+c=0 \\ \\ 33-56i-7b+4bi+c=0 \\ \\ \\$

$Second \ root: \\ \\ (-7-4i)^2+b(-7-4i)+c=0 \\ \\ (-1)^2(7+4i)^2+b(-7-4i)+c=0 \\ \\ (7)^2+2(7)(4i)+(4i)^2-7b-4bi+c=0 \\ \\ 49+56i+16i^2-7b-4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49+56i+16(-1)-7b-4bi+c=0 \\ \\ 49+56i-16-7b-4bi+c=0 \\ \\ 33+56i-7b-4bi+c=0$

So we have:

$(1) \ 33-56i-7b+4bi+c=0 \\ \\ (2) \ 33+56i-7b-4bi+c=0 \\ \\ \\ Subtract \ 2 \ from: \\ \\ 33-56i-7b+4bi+c-(33+56i-7b-4bi+c)=0 \\ \\ 33-56i-7b+4bi+c-33-56i+7b+4bi-c=0 \\ \\ \\ Combine \ like \ terms: \\ \\ 33-33-56i-56i-7b+7b+4bi+4bi+c-c=0 \\ \\ -112i+8bi=0 \\ \\ Isolating \ b: \\ \\ b=\frac{112i}{8i} \\ \\ \boxed{b=14}$

Finding c from (1):

$33-56i-7b+4bi+c=0 \\ \\ \\ Substituting \ b: \\ \\ 33-56i-7(14)+4(14)i+c=0 \\ \\ 33-56i-98+56i+c=0 \\ \\ -65+c=0 \\ \\ \boxed{c=65}$

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

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