Question

2x-6y= -12 x intercept as a ordered pair and y intercept as ordered pair

Answer 1

X=-6 and y=2

I guess it’s (-6,12)

Answer 2

The x-intercept of the equation 2x-6y=-12 is (-6, 0), and the y-intercept is (0, 2). We solve separately for each intercept by substituting zero in for the variable not being calculated.

Step-by-step explanation:

The question asks for the x-intercept and y-intercept of the linear equation 2x-6y=-12 as ordered pairs. To find the x-intercept, we set y to 0 in the equation and solve for x. For the y-intercept, we set x to 0 and solve for y.

To find the x-intercept:

1. Set y to 0 in the equation: 2x - 6(0) = -12.
2. Solve for x: 2x = -12 ⇒ x = -6.
3. The x-intercept is (-6, 0).

To find the y-intercept:

1. Set x to 0 in the equation: 2(0) - 6y = -12.
2. Solve for y: -6y = -12 ⇒ y = 2.
3. The y-intercept is (0, 2).

The linear equation y = mx + b is also mentioned where b represents the y-intercept and m represents the slope. In this context, by rearranging the original equation, we get y = ⅓x + 2, from which we can confirm the calculated y-intercept is 2 when x is zero.