Question

Complete the equation of the line through (1, 4) and (2, 2).
Use exact numbers.
y=

Answer 1

Answer:y=-2x+6

Explanation:

I got it on khan

Answer 2

`y=-2x+6`

Explanation:

Given:

Two points on the line are given as:

`(x_1,y_1)=(1,4)\\\\(x_2,y_2)=(2,2)`

Now, slope of a line passing through two points is given as:

Slope,
`m=(y_2-y_1)/(x_2-x_1)`

Plug in the given values and solve for 'm'. This gives,

`m=(2-4)/(2-1)\\\\m=(-2)/(1)=-2`

So, slope of the line is -2.

Now, the point-slope form of a line is given as:

`y-y_1=m(x-x_1)`

Plug in the given values and simplify. This gives,

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

Therefore, the equation of the line is
`y=-2x+6`