Answer:
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
You know:
m = \frac{1}{3}31 So substitute/plug it into the equation
y = mx + b
y=\frac{1}{3} x+by=31x+b To find b, plug in the point (-6, 0) into the equation, the isolate/get the variable "b" by itself
Explanation:
0=\frac{1}{3} (-6)+b0=31(−6)+b
0 = -2 + b Add 2 on both sides to get "b" by itself
0 + 2 = -2 + 2 + b
2 = b
y=\frac{1}{3} x+2y=31x+2