Question

Graph this line using the slope and y-intercept:
y=4x+6

Answer 1

Steps to graph y = 4x + 6 using slope and y‑intercept:

1. Identify the y‑intercept: b = 6, so plot (0, 6).
2. Identify the slope: m = 4 = 4/1 (rise/run). From (0,6) go right 1 and up 4 to plot (1,10). You can also go left 1 and down 4 to (−1,2).
3. Draw a straight line through those points.

Useful extra points:
- x = −1 → y = 4(−1)+6 = 2 → (−1, 2)
- x = 0 → y = 6 → (0, 6)
- x = 1 → y = 10 → (1, 10)

x‑intercept: set y = 0 → 0 = 4x + 6 → x = −1.5 → (−1.5, 0).

Plot any two of these points and connect them to get the complete line.