Question

How do you write an equation in point-slope form for the given (0, 6), (3,0)?

Answer 1

`y-0=-2(x-3)`

Explanation:

`"the equation of a line in "color(blue)"point-slope form"` is.

`•color(white)(x)y-y_1=m(x-x_1)`

`"where m is the slope and "(x_1,y_1)" a point on the line"`

`"to calculate m use the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(0,6)" and "(x_2,y_2)=(3,0)`

`rArrm=(0-6)/(3-0)=(-6)/3=-2`

`"use either of the given points as a point on the line"`

`"using "(3,0)" then"`

`y-0=-2(x-3)`

`rArry=-2(x-3)larrcolor(red)"in point-slope form"`