Question

Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis.

Use exact numbers.
y=y=y, equals

Answer 1

y=-2x+6

Explanation:

Answer 2

The equation of the line passing through
`(x_1,y_1)` and
`(x_2,y_2)` is given by

`(x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1)`

In your case, the points are (1,4) and (2,2). Plug these values in the equation to get

`(x-1)/(2-1)=(y-4)/(2-4) \iff x-1=(4-y)/(2)`

We can rewrite the equation as

`2(x-1)=4-y \iff 2x-2=4-y \iff y=-2x+6`