f(x) = 3x - 2
The slope is 3. Look at whatever number is changing (rise/run). Use the slope-intercept form, y = mx + b.
The y-intercept is @ (0, -2). Plug in 0 for x to find f(x). f(0) = 3(0) - 2 = -2
The x-intercept is @ (2/3, 0). Plug in 0 for f(x) to find x. 3x - 2 = 0 → 3x = 2 → x = 2/3
The first question is false. The rest are true.