Question

Which is the equation of a line that has a slope of 1 and passes through point (5, 3)?

y = -2
y = x + 2
y = x + 3
y=x-5

Answer 1

We can use the slope intercept form of a line.

y = mx+b where m is the slope and b is the y intercept

y = 1x +b

Substitute the point into the equation

3 = 1*5+b

3 = 5+b

Subtract 5 from each side

3-5 = 5+b-5

-2 =b

y = x-2

Answer 2

y = x - 2

Explanation:

y = x + b

3 = 5 + b

y = x - 2