Question

Which is the equation of a line that has a slope of 1 and passes through point (5, 3)? A.y = x – 2

B.y = x + 2 C.y = x + 3
D.y = x – 5

Answer 1

Answer: A) y=x-2

Step-by-step explanation: The equation of a line is given by the expression:

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

in the given problem the slope is m=1 and the point (x1, y1) is (5, 3), so substituting those values we have:

(y-3)=1(x-5)

simplifying:

y-3=x-5

isolating "y":

y=x-5+3

y=x-2

Answer 2

Filling in the given values in point-slope equation
y = m(x -x₁) +y1
you have
y = 1(x -5) +3

This simplifies to ...
A. y = x - 2