Question

PLEASE HELP IF YOU SEE THIS. I really need help.How do you write an equation of a line given 2 points? Write the equation for the line containing points (3,8) and (9,2). Convert the equation to slope intercept form.

Answer 1

The answer of your question is: y = - x + 11

Explanation:

Data

A (3, 8)

B (9,2)

Formula

m =
`((y2 - y1))/((x2 - x1))`

(y - y1) = m(x - x1)

Process

1.- Calculate the slope

m =
`(2- 8)/(9 -3)`

=
`(-6)/(6)`

m = -1 slope

2.- Substite point A and slope in the equation

(y - 2) = - 1(x - 9)

y - 2 = -x + 9

y = -x + 9 + 2

y = - x + 11 Solve for y