Question

Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?

Answer 1

the slope intercept equation is

y = mx + b

= m gradient and b is the y-intercept

so in your question you have

y = 1/2 x + b

substitute x = -2 and y = 1 into the equation above to find b

then you'll have the equation of your line.