MATH SOLVE

4 months ago

Q:
# The line of best fit passes through the two points labelled on this graph.Find the equation of the line of best fit

Accepted Solution

A:

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 formulam = (y₂ - y₁ ) / (x₂ - x₁ )with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (6, 5)m = [tex]\frac{5-2}{6-1}[/tex] = [tex]\frac{3}{5}[/tex], thusy = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation of the lineTo find c substitute either of the 2 points into the partial equationUsing (1, 2), then2 = [tex]\frac{3}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{3}{5}[/tex] = [tex]\frac{7}{5}[/tex]y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{7}{5}[/tex] ← in slope- intercept form