Question

Find the x and y intercept 3x+2y=6

Answer 1

The x-intercept of the equation 3x+2y=6 is at (2, 0), and the y-intercept is at (0, 3). You find these by setting each variable to zero in turn and solving for the other variable.

Step-by-step explanation:

To find the x-intercept and y-intercept for the equation 3x+2y=6, you need to set the variables to zero one at a time and solve for the other.

Finding the y-intercept

Set x to 0 and solve for y:

• 3(0) + 2y = 6
• 2y = 6
• y = 3

So, the y-intercept is at (0, 3).

Finding the x-intercept

Set y to 0 and solve for x:

• 3x + 2(0) = 6
• 3x = 6
• x = 2

Therefore, the x-intercept is at (2, 0).

Answer 2

see explanation

Step-by-step explanation:

To find the intercepts, that is where the graph crosses the axes.

• let x = 0, in the equation for the y- intercept

• let y = 0, in the equation for the x- intercept

x = 0 : 0 + 2y = 6 ⇒ 2y = 6 ⇒ y = 3 ← y- intercept

y = 0 : 3x + 0 = 6 ⇒ 3x = 6 ⇒ x = 2 ← x- intercept

x- intercept (2,0 ) and y- intercept (0, 3 )