Question

What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2

Answer 1

Explanation:

the typical line equation :

y = ax + b

with "a" being the slope, and b being the y-intercept (the y value when x = 0).

so, the equation starts

y = 1/2 x + b

to get b we use the given point coordinates :

1 = 1/2 × 4 + b = 2 + b

-1 = b

and the whole equation is

y = 1/2 x - 1