Question

What is the x-value of the x-intercept of the line with equation 3x+y+2=0?

a) -2
b) -2/3
c) 2/3
d) 2

Answer 1

The x-value of the x-intercept for the line 3x + y + 2 = 0 is -2/3. This value is found by setting y to 0 and solving the resulting equation 3x + 2 = 0 for x.

Step-by-step explanation:

To find the x-value of the x-intercept of the line with equation 3x + y + 2 = 0, we need to determine where the line crosses the x-axis. At the x-intercept, the y-coordinate is 0. Substituting 0 for y in the equation gives us:

3x + 0 + 2 = 0
3x + 2 = 0
3x = -2
X = -2/3

Thus, the x-value of the x-intercept is -2/3, which corresponds to option b) -2/3.