Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (5, 6) and (x₂, y₂ ) = (4, 8)
m = [tex]\frac{8-6}{4-5}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2
There are 2 possible equations, however both are equivalent
Using (a, b) = (5, 6), then
y - 6 = - 2(x - 5)
Using (a, b) = (4, 8), then
y - 8 = - 2(x - 4)
