Question

Find the x-and y-int eroepts of the linear equation 4x+2y=6

Answer 1

To find the x-intercept, set y=0 and solve for x. To find the y-intercept, set x=0 and solve for y. The y-intercept is (0, 3).

Step-by-step explanation:

To find the x- and y-intercepts of the linear equation 4x + 2y = 6, we first set x or y equal to zero and solve for the other variable. To find the x-intercept:

Let y = 0 in the equation 4x + 2y = 6.

4x + 2(0) = 6

4x = 6

x = 6/4

x = 3/2

So, the x-intercept is (3/2, 0).

To find the y-intercept:

Let x = 0 in the equation 4x + 2y = 6.

4(0) + 2y = 6

2y = 6

y = 6/2

y = 3

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