what is the equation of the line that passes through the point (8,1) and has a slope of - 3/4

Answer 1

Use the point-slope form of a line.

It is:

(y - y₁) = m(x - x₁) where the slope is "m" and the point is (x₁, y₁)

So it is: (y - 1) = -3/4(x - 8)

You are not instructed to convert it so this can be your answer. If you had been instructed to put the answer in slope-intercept form, you could multiply it out and combine like terms like this:

y - 1 = -3/4x + 6

y = -3/4x + 7