How would I solve this 3x+y=-2

Question

How would I find x-intercept and y-intercept to this problem?

 

Answer 1

y-intercept is found by substituting 0 for x, so y-intercept is:

 

3(0) + y = -2

 

0 + y = -2

 

y = -2

 

so y-intercept is (0, -2)

 

x-intercept is found by substituting 0 to y, so x-intercept is:

 

3x + 0 = -2

 

3x = -2

 

so, x = -2/3

 

so x-intercept is (-2/3, 0)