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 )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 5)
m = [tex]\frac{5-4}{2+3}[/tex] = [tex]\frac{1}{5}[/tex], hence
y = [tex]\frac{1}{5}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5), then
5 = [tex]\frac{2}{5}[/tex] + c ⇒ c = 5 - [tex]\frac{2}{5}[/tex] = [tex]\frac{23}{5}[/tex]
y = [tex]\frac{1}{5}[/tex] x + [tex]\frac{23}{5}[/tex] ← equation of line
