Question

Please solve the picture below
Complete the equation

Answer 1

y - 2 = -2x

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 =
`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

Insert the parameters and solve;

Slope of the line =
`(2 - 4)/(7-6)` = -2

So,

y - 2 = -2x