Answer:
see explanation
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 7) ← 2 ordered pairs from the table
m = [tex]\frac{7-3}{3-1}[/tex] = [tex]\frac{4}{2}[/tex] = 2
The line crosses the y- axis at (0, 1 ) ← from table
Then c = 1
y = 2x + 1 ← equation of line
