Question

The line has a slope of 1 and passes through the point (0,5). What is the point-slope form of the line? A) y-0=-1(x - 5) B) y-0=1(x - 5) C) y-5=2(x - 0) D) y-5=1(x - 0)​

Answer 1

✦ Given that

• A line has a slope of 1 and it passes through (0,5)

✦ We need to find

• The point-slope form of the line

`\hrulefill`

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

`\longleftrightarrow\rm{y-5=1(x-0)}`

`\longleftrightarrow\rm{y-5=x}`

Therefore the equation is y - 5 = x

Answer 2

D

Explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here slope m = 1 and (a, b ) = (0, 5 ) , then

y - 5 = 1(x - 0) ← in point- slope form

this can be simplified to

y - 5 = x