Question

Write the equation, in point-slope form, of the line passing through the points (7, 12) and (10, 11) help?

i need help

Answer 1

See below.

Explanation:

First, find the gradient (slope).
`12-11/7-10 = 1/-3`

`y = mx + c`
`m` = gradient
`c` = `y`-intercept
`y = (1/-3)x + c`
`12 = (1/-3)(7) + c`
`12 = -7/3 + c`
`12 + 7/3 = c`
`43/3 = c`

Hence, the equation is:
`color(red)(y = (1/-3)x + 43/3`

I hope that helps!