Final answer:
The equation of the line is y = (4/1)x - 35.
Step-by-step explanation:
The equation of the line that passes through the point (8,−3) and has a slope of 4/1 is:
y = mx + b
Substituting the values into the formula, we have:
y = (4/1)x + b
Since the line passes through the point (8, −3), we can substitute the values into the equation to find the value of b:
-3 = (4/1)(8) + b
Simplifying, we get:
-3 = 32 + b
b = -35
Therefore, the equation of the line is y = (4/1)x - 35.