Question

What are the x and y intercepts of the line 3x-4y=12

Answer 1

Hey there...

So this is a tough question.....

Let's start with the x first, then we will go to y.

So, here is the x.

Step-by-step explanation: To find the x intercept, make the y = (0). Since we know that x needs 0 for the y coordinate.

3x-4(0)=12

x=4.

So the intercept for x = 4.

Now we have to do the y.

Step-by-step explanation: To find the y, make x = (0), since know that y needs 0 in the front of the number.

3(0)-4y=12

y=-3

So the y = -3.

Hope this helps.....

Answer 2

x-intercept = 4, y-intercept = - 3

to find the intercepts, that is where the graph crosses the axes

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

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

x = 0 : - 4y = 12 ⇒ y = - 3 ⇒ (0, - 3) ← y - intercept

y = 0 : 3x = 12 ⇒ x = 4 ⇒ (4, 0 ) ← x- intercept