Question

write an equation in point slope form for the the line through the given point with the given slope(-3, 5); m = 2/3a.y+3=2/3(x-5)b.y+5=(2/3)(x+3)c.y-5= 2/3(x-3)d.y-5=2/3 (x+3)

Answer 1

th general form of a wquation on point slope form is

`(y-y1)=m(x-x1)`

where m is the slope and (x1,y1) is a point

i can replace m and x1,y1 ussing the statements

`\begin{gathered} (y-5)=(2)/(3)(x-(-3)) \\ \\ (y-5)=(2)/(3)(x+3) \end{gathered}`

so the right option is D