Question

Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).

Answer 1

Explanation:

Hey there!

The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).

Note: Use double point formula for the equation.

Now;

`(y - y1) = (y2 - y1)/(x2 - x1) (x - x1)`

Put all values.

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

Simplify it.

`(y - 4) = ( - 2)/( - 3) (x - 4)`

`(y - 4) = (2)/(3) (x - 4)`

`(y - 4) = (2)/(3) x - (2)/(3) * 4`

`y = (2)/(3)x - (8)/(3) + 4`

`y = (2)/(3) x - (8 + 12)/(3)`

`y = (2)/(3) x + (4)/(3)`

Therefore, the equation is; y = 2/3x+4/3.

Hope it helps...