Answer: y = [tex]\frac{4}{3}[/tex]x + [tex]\frac{16}{3}[/tex]or y - 4 = ([tex]\frac{4}{3}[/tex])(x + 1)
Step-by-step explanation:
Point-slope form is written as (y - [tex]y_1[/tex]) = m(x - [tex]x_1[/tex]) where m is the slope and [tex](x_1,y_1)[/tex] is a point on the graph.
Given:
(y - [tex]y_1[/tex]) = m(x - [tex]x_1[/tex])
Substitute:
(y - 4) = ([tex]\frac{4}{3}[/tex])(x - - 1)
Negative times negative is a positive:
y - 4 = ([tex]\frac{4}{3}[/tex])(x + 1)
Add 4 to both sides and distribute the [tex]\frac{4}{3}[/tex]:
y - 4 + 4 = ([tex]\frac{4}{3}[/tex] * x + [tex]\frac{4}{3}[/tex] * 1) + 4
Simplify:
y = [tex]\frac{4}{3}[/tex]x + [tex]\frac{4}{3}[/tex] + 4
Combine like terms:
y = 1[tex]\frac{1}{3}[/tex]x + 5[tex]\frac{1}{3}[/tex] or y = [tex]\frac{4}{3}[/tex]x + [tex]\frac{16}{3}[/tex]or y = [tex]\frac{4}{3}[/tex]x + 5.333
