Find the slope and the y-intercept of the of the linear equation. 0=2-3y+12x
1 answer:
The slope is 4 and the y-intercept is
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 =
- The y-intercept =
∵ 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 =
- Substitute A by 12 and B by -3
∴ The slope of the line =
∴ The slope of the line = 4
∵ The y-intercept =
- Substitute C by 2 and B by -3
∴ The y-intercept =
∴ The y-intercept =
The slope is 4 and the y-intercept is
Learn more:
You can learn more about the linear equation in brainly.com/question/4819659
#LearnwithBrainly
You might be interested in
Answer:
<em>The equation of the circle (x +1) )² +(y-(2))² = (2(√5))²</em>
<em> or </em>
<em>The equation of the circle x² + 2 x + y² - 4 y = 15</em>
<u>Step-by-step explanation:</u>
Given points end Points are p(-3,-2) and q( 1,6)
<em>The distance of two points formula</em>
P Q =
P Q =
P Q =
<em>The diameter 'd' = 2 r</em>
2 r = √80
=
=
<em> r = 2√5</em>
<em>Mid-point of two end points </em>
<em> </em><em></em>
<em> = (-1 ,2)</em>
<em>Mid-point of two end points = center of the circle</em>
<em> (h,k) = (-1 , 2)</em>
The equation of the circle
(x -h )² +(y-k)² = r²
<em> (x -(-1) )² +(y-(2))² = (2(√5))²</em>
<em> x² + 2 x + 1 + y² - 4 y + 4 = 20</em>
<em> x² + 2 x + y² - 4 y = 20 -5</em>
<em> x² + 2 x + y² - 4 y = 15</em>
<u><em>Final answer</em></u><em>:-</em>
<em>The equation of the circle (x +1) )² +(y-(2))² = (2(√5))²</em>
<em> or </em>
<em>The equation of the circle x² + 2 x + y² - 4 y = 15</em>
<em> </em>