Answer:
y = - 2x + [tex]\frac{7}{6}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y - [tex]\frac{2}{3}[/tex] = - 2(x - [tex]\frac{1}{4}[/tex] ) ← distribute
y - [tex]\frac{2}{3}[/tex] = - 2x + [tex]\frac{1}{2}[/tex]
Add [tex]\frac{2}{3}[/tex] to both sides
y = - 2x + [tex]\frac{1}{2}[/tex] + [tex]\frac{2}{3}[/tex], that is
y = - 2x + [tex]\frac{7}{6}[/tex] ← in slope- intercept form