Problem: what is the x and y intercept of x+6y=0
Please answer the question of the x and y intercepts of the equation x+6y=0.
x + 6y = 0
x + 6y - x = 0 - x
6y = -x + 0
6y/6 = (-x + 0)/6
y = -1/6 x + 0/6
y = -1/6 x + 0
The intercepts on either axis occur when the OTHER variable is zero.
Set x to zero to obtain the y-intercept:
y = -1/6 x + 0
y = -1/6 (0) + 0
y = 0 + 0
y = 0
Set y to zero to obtain the x-intercept:
y = -1/6 x + 0
0 = -1/6 x + 0
0 = -1/6 x
0 * (-6) = (-1/6 x) * (-6)
0 = x
Both intercepts are 0. The graph of this equation
passes through the origin, (0, 0)