How do I write the equation of the line?

Question

write an equation of the line passing throigh (-2,1) and (3,2). give the answer in standard form.

Answer 1

You want the equation in the form

ax + by = c,

with a, b, and c integers, if possible. Start by finding the slope.

m = (2 - 1)/[3 - (-2)] = 1/5

y = mx + b = x/5 + b

Using the first given point to find b.

1 = -2/5 + b

b = 7/5

y = x/5 + 7/5

5y = x + 7

x - 5y = -7