Answer:
y = [tex]\frac{7}{2}[/tex] x - 11
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 ) = (2, - 4) and (x₂, y₂ ) = (6, 10)
m = [tex]\frac{10+4}{6-2}[/tex] = [tex]\frac{14}{4}[/tex] = [tex]\frac{7}{2}[/tex] , thus
y = [tex]\frac{7}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 4) , then
- 4 = 7 + c ⇒ c = - 4 - 7 = - 11
y = [tex]\frac{7}{2}[/tex] x - 11 ← equation of line
