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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)​

2 Answers

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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

User Ali Shaukat
by
8.5k points
6 votes

Answer:

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

User Alvaropgl
by
8.8k points

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