The equation of the line that passes through the point (8, -1) and has a slope of -3/4 is y = -3/4x - 1.
Step-by-step explanation:
The equation of a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. Since the slope is given as -3/4, we can substitute this value into the equation. The point (8, -1) can also be substituted into the equation to find the value of b.
Using the point-slope form of a linear equation, we have:
y - y1 = m(x - x1)
Plugging in the values: -1 - (-1) = -3/4(8 - 8)
After simplifying, we get:
y - (-1) = -3/4(0)
y + 1 = 0
y = -1
So, the equation of the line is y = -3/4x - 1.