Question

Please help I need this done

Answer 1

y = - x + 7

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate the slope m , using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (4, 3) and (x₂, y₂ ) = (9, - 2) ← 2 points on the line

substitute these values into te formula for m

m =
`(-2-3)/(9-4)` =
`(-5)/(5)` = - 1 , then

y = - x + c ← is the partial equation

to find c , substitute either of the 2 points into the partial equation

using (4, 3 ) for x and y in the partial equation

3 = - 4 + c ( add 4 to both sides )

7 = c

y = - x + 7 ← equation of line