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 = (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], thus
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (1, 2), then
2 = [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
