contestada

A line has a slope of -1/5 and passes through the point (9,-7). What is it equation in point slope form?

Respuesta :

anikabhaskaran

The equation of the line is y=mx+b

so now substitute:

-7=(-1/5)9+b

-7=-1 4/5+b

add -1 4/5 on both sides

5 1/5=b

so here's the final equation:

y= -1/5x+5 1/5

hope this helps!

apologiabiology

point slope form is [tex]y-y_1=m(x-x_1)[/tex] where the slope is [tex]m[/tex] and it passes through the point [tex](x_1,y_1)[/tex]


given that the slope is -1/5 and it passes through the point (9,-7)

m=-1/5

x₁=9

y₁=-7

[tex]y-(-7)=\frac{-1}{5}(x-9)[/tex]

[tex]y+7=\frac{-1}{5}(x-9)[/tex]

that is the equation in point slope form