Question

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

Answer 1

y = x - 4

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = 5 + c ⇒ 1 - 5 = - 4

y = x - 4 ← equation of line