Question

The line has a slope of 1/5 and passes through the point (3, 1). What is the point-slope form of the line?

A) y + 1/5= 3(x + 1)
B) y-1= 5(x-3)
C) y-1=1/5(x-3)
D) y + 1 = 1/5(x+3)​

Answer 1

✦ Given that

• A line's slope is 1/5 and it passes through (3,1)

✦ We need to find

• The point slope form of the line

`\hrulefill`

`\longleftrightarrow\rm{y-y_1=m(x-x_1)}`

`\longleftrightarrow\rm{y-1=(1)/(5)(x-3)}}`

Therefore the point slope form is y - 1 = 1/5(x - 3).

`\hrulefill`