Question

Write the equation in slope-imatcept form fot the tine thal gasses through the points (7,5) and (6,9).

Answer 1

y = - 4x + 33

Explanation:

the equation of a line in slope- intercept form is

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

calculate m using the slope formula

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

let (x₁, y₁ ) = (7, 5 ) and (x₂, y₂ ) = (6, 9 )

substitute these values into the formula for m

m =
`(9-5)/(6-7)` =
`(4)/(-1)` = - 4 , then

y = - 4x + c ← is the partial equation

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

using (7, 5 )

5 = - 4(7) + c = - 28 + c ( add 28 to both sides )

33 = c

y = - 4x + 33 ← equation of line