Question

Find the slope and the y-intercept of the of the linear equation. 0=2-3y+12x

Answer 1

The slope is 4 and the y-intercept is $\frac{2}{3}$

Step-by-step explanation:

The general form of a linear equation is Ax + By + C = 0, where

• A is the coefficient of x
• B is the coefficient of y
• C is the numerical term
• A, B, and C are integers
• The slope of the line = $\frac{-A}{B}$
• The y-intercept = $\frac{-C}{B}$

∵ The linear equation is 0 = 2 - 3y + 12x

- Switch the two sides and arrange the terms as the general

   form above

∴ 12x - 3y + 3 = 0

∴ A = 12

∴ B = -3

∴ C = 2

∵ The slope of the line = $\frac{-A}{B}$

- Substitute A by 12 and B by -3

∴ The slope of the line = $\frac{-12}{-3}$

∴ The slope of the line = 4

∵ The y-intercept = $\frac{-C}{B}$

- Substitute C by 2 and B by -3

∴ The y-intercept = $\frac{-2}{-3}$

∴ The y-intercept = $\frac{2}{3}$

The slope is 4 and the y-intercept is $\frac{2}{3}$

Learn more:

You can learn more about the linear equation in brainly.com/question/4819659

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