Question

How do you find the equation in slope-intercept form of the line that passes through the points (1,4) and (2, -3)?

Answer 1

`y=-7x+11`

Explanation:

Let the given points be A & B, respectively.

The slope of the line AB is
`color(white)("XXX")(4+3)/(1-2) = -7`.

Using slope point formula for line AB, we get its eqn.
`color(white)("XXX")y-(-3)= -7(x-2)`,

i.e.`color(white)("XXX") y+3=-7x+14`

i.e.`color(white)("XXX") y=-7x+11`.