Question

How do you write the equation in point slope form given (8,5) & (0,-4)?

Answer 1

`y-5=9/8(x-8)`

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)=(8,5)" and "(x_2,y_2)=(0,-4)`

`rArrm=(-4-5)/(0-8)=(-9)/(-8)=9/8`

`"using "m=9/8" and "(x_1,y_1)=(8,5)" then "`

`y-5=9/8(x-8)larrcolor(red)"in point-slope form"`