Answer:
y - 2 = -2x
Step-by-step explanation:
A point slope equation is of the form;
y = mx + c
c is the y intercept
y and x are coordinate values
m is the slope
y - c = mx is similar to the given problem,
y -2 = ?
We need to find mx;
m is the slope;
Given coordinates;
(6,4) and (7,2)
x₁ = 6
y₁ = 4
x₂ = 7
y₂ = 2
Slope of a line = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Insert the parameters and solve;
Slope of the line = [tex]\frac{2 - 4}{7-6}[/tex] = -2
So,
y - 2 = -2x
