Question

What is the x intercept of 3x-4y+18=0?

Answer 1

3x = 4y - 18

x = 4/3 y - 6

x = 4/3 y + (-6)

the x intercept = -6

Answer 2

The x-intercept is the point at which the graph intersects the x-axis.
A that point, the y-coordinate is 0.
Let y = 0, and solve for x.

3x - 4y + 18 = 0

3x - 4(0) + 18 = 0

3x + 18 = 0

3x = -18

x = -6

The x-intercept is the point (-6, 0).