Answer: [tex]y-\frac{1}{6}=-\left(x+\frac{3}{4}\right)[/tex] or [tex]y-\left(-1\right)=-\left(x\ -\frac{5}{12}\right)[/tex]
is the point slope form of an equation that passes through the given points (5/12, -1), (-3/4, 1/6)
Step-by-step explanation: To find the slope -- which turns out to be -1, and the 1 disappears from the normal "m" in front of the parentheses--
y₂ - y₁ divided by x₂ - x₁
[tex]\frac{1}{6} -1/-\frac{3}{4} -\frac{5}{12}[/tex] = -1
Then substitute the values from either coordinate into the point-slope equation form: [tex]y - y_{1} = m(x -x_{1} )[/tex]
[tex]y-\frac{1}{6}=-\left(x+\frac{3}{4}\right)[/tex]
[tex]y-\left(-1\right)=-\left(x\ -\frac{5}{12}\right)[/tex]
