Answer:
y = [tex]\frac{3}{4}[/tex] x + [tex]\frac{-8}{3}[/tex] or 12y = 9x -32 or y - 1/3 =3/4(x-4)
Step-by-step explanation:
The equation of a line in the slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
The other form is the point-slope form where the point (x₁, y₁) and a slope m are given, and you have to plug it into formula:
y – y₁ = m(x – x₁)
Here:
y - 1/3 =3/4(x-4)multiply both sides by 12 to loose fraction
12y -4 = 9(x-4) distribute
12y -4 = 9x -36 add 4 on both sides
12y = 9x -32 divide by 12
y = [tex]\frac{9}{12}[/tex] x + [tex]\frac{-32}{12}[/tex] simplify factions
y = [tex]\frac{3}{4}[/tex] x + [tex]\frac{-8}{3}[/tex]
