Question

Writing an Equation from a Graph

Answer 1

Answer:

y = x + 2

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 ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = $\frac{2-0}{0-(-2)}$ = $\frac{2}{0+2}$ = $\frac{2}{2}$ = 1

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line