Question

Write the equation for this line in slope-intercept form

Answer 1

Answer:

y=x-1

Step-by-step explanation:

Answer 2

Answer:

y = $\frac{2}{3}$ x - 1

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 )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, - 3) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = $\frac{1+3}{3+3}$ = $\frac{4}{6}$ = $\frac{2}{3}$ , then

y = $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 1 ) , then

1 = 2 + c ⇒ c = 1 - 2 = - 1

y = $\frac{2}{3}$ x - 1 ← equation of line