Question

3x-4y=12
X-intercept
Y-intercept

Answer 1

Answer: 3x - 4y = 12:

- The x-intercept is (4, 0).

- The y-intercept is (0, -3).

Step-by-step explanation:1. Setting y to zero, we have:

3x - 4(0) = 12

Simplifying, we get:

3x = 12

Dividing both sides of the equation by 3, we have:

x = 4

Therefore, the x-intercept is the point (4, 0).

Now let's find the y-intercept.

2. Setting x to zero, we have:

3(0) - 4y = 12

Simplifying, we get:

-4y = 12

Dividing both sides of the equation by -4, we have:

y = -3

Therefore, the y-intercept is the point (0, -3).

Answer 2

the x-intercept is 4, and the y-intercept is -3

Explanation:

In order to find the x-intercept, set y equal to 0 and solve for x.

3x - 4y = 12

3x - 4(0) = 12

3x - 0 = 12

3x = 12

x = 4

So, the x-intercept is 4, or, if we write it in point form, it's (4,0), because x-intercepts have a y-coordinate of 0.

Then, to find the y-intercept, we set x equal to 0 and solve for y:

3(0) - 4y = 12

0 - 4y = 12

-4y = 12

y = -3

So, the y-intercept is -3, or, if we write it as a point, it's (0,-3), because y-intercepts always have an x-coordinate of 0.