The slope is 4 and the y-intercept is [tex]\frac{2}{3}[/tex]
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 = [tex]\frac{-A}{B}[/tex]
- The y-intercept = [tex]\frac{-C}{B}[/tex]
∵ 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 = [tex]\frac{-A}{B}[/tex]
- Substitute A by 12 and B by -3
∴ The slope of the line = [tex]\frac{-12}{-3}[/tex]
∴ The slope of the line = 4
∵ The y-intercept = [tex]\frac{-C}{B}[/tex]
- Substitute C by 2 and B by -3
∴ The y-intercept = [tex]\frac{-2}{-3}[/tex]
∴ The y-intercept = [tex]\frac{2}{3}[/tex]
The slope is 4 and the y-intercept is [tex]\frac{2}{3}[/tex]
Learn more:
You can learn more about the linear equation in brainly.com/question/4819659
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