Find the slope and y intercept of the line represented by each table​

Answer:see explanationStep-by-step explanation:The equation of a line in slope- intercept form isy = mx + c ( m is the slope and c the y- intercept )Calculate m using the slope formula(1)m = (y₂ - y₁ ) / (x₂ - x₁ )with (x₁, y₁ ) = (2, 22) and (x₂, y₂ ) = (4, 32) ← 2 ordered pairs from the tablem = [tex]\frac{32-22}{4-2}[/tex] = [tex]\frac{10}{2}[/tex] = 5, thusy = 5x + c ← is the partial equationTo find c substitute any ordered pair from the table into the partial equationUsing (6, 42), then42 = 30 + c ⇒ c = 42 - 30 = 12Thus Table 1 has slope = 5 and y- intercept = 12(2)Using (x₁, y₁ ) = 2, 15) and (x₂, y₂ ) = (1,8) ← 2 ordered pairs from the tablem = [tex]\frac{8-15}{1-2}[/tex] = [tex]\frac{-7}{-1}[/tex] = 7, thusy = 7x + c ← is the partial equationTo find c substitute (3, 22) into the partial equation22 = 21 + c ⇒ c = 22- 21 = 1Thus Table 2 has slope = 7 and y- intercept = 1