Question

What are the x- and y-intercepts of the graph of 6x - 4y = -12?

x-int: -2, y-int: 3
x-int: 2, y-int: -3
x-int: 3, y-int: -2
X-int: -3, y-int: 2

Answer 1

The x intercept is -2 and y intercept form is 3

Solution:

Given equation is:

6x - 4y = -12

To find: x intercept and y intercept

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

Finding x intercept

To determine the x-intercept, we set y equal to zero and solve for x.

Substitute y = 0 in given equation

6x - 4(0) = -12

6x = -12

Divide both sides of equation by 6

x = -2

Thus x intercept is -2

Finding y intercept:

To determine the y-intercept, we set x equal to zero and solve for y

Substitute x = 0 in given equation

6(0) - 4y = -12

-4y = -12

Divide both sides of equation by -4

y = 3

Thus y intercept is 3