Question

How do you write the equation in point slope form given (3, 6) and (0, –3)?

Answer 1

`y-6=3(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 the slope m use the "color(blue)"gradient formula"`

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

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

`rArrm=(-3-6)/(0-3)=(-9)/(-3)=3`

`"use either of the 2 given points for the point on the line"`

`"using "(x_1,y_1)=(3,6)" then"`

`y-6=3(x-3)larrcolor(red)"in point-slope form"`