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3 years ago

Question 6 of 37 write the equation in slope-intercept form. what are the slope and y-intercept? –12x + 11y = –8

1 answer:

8 0

Solve for y. Do that by adding the opposite of the x-term, then dividing by the coefficient of y.
11y = 12x - 8
y = (12/11)x - 8/11

The slope is 12/11.
The y-intercept is -8/11.

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3 years ago

Using SET NOTATION, what is the solution set for the following equation? a² - 3 = 22

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The solution set is $\{-5,5\}$

Explanation:

The given equation is $a^{2}-3=22$

To determine the solution set of the equation, let us solve the equation.

Adding both sides of the equation by 3, we have,

$a^2=25$

Taking square root on both sides of the equation, we get,

$a=\sqrt{25}, a=-\sqrt{25}$

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Thus, the solution of the equation is $a=5, a=-5$

The solution set of the equation is the set which contains all the solutions of the equations.

Thus, writing the solutions of the equation using set notation, we have,

$\{-5,5\}$

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