Question

What is the equation of the line between `(3,-2)` and `(-5,1)`?

Answer 1

A line equation is of the form `y=ax+b`. By substituting in the values from the two points, the equations can be solved by substitution to get the values of a and b

Explanation:

`-2 = a*3 + b`
Therefore `b = -2 -a*3`
`1 = a*-5 +b`
Therefore `b = 1 + a*5`
`-2 - 3*a = 1 + 5*a`
`8*a = -3`
`a = -3/8`
`b = -2 - (-3/8)*3`
`b = -2 +9/8`
`b = -7/8`
`y = (-3/8)*x + (-7/8)`
`8*y = -3*x - 7`