Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))
Since you know m = -4/3, plug it into the equation
y = -4/3x + b
To find "b", plug in the point into the equation
y = -4/3x + b
1 = -4/3(-6) + b
1 = 24/3 + b
1 = 8 + b
-7 = b
y = -4/3x - 7