Question

Write an equation of the line that passes through the given points (-2,7) and (3,-3)

Answer 1

y = - 2x + 3

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) )`

with (x₁, y₁ ) = (- 2, 7 ) and (x₂, y₂ ) = (3, - 3 )

m =
`(-3-7)/(3-(-2))` =
`(-10)/(3+2)` =
`(-10)/(5)` = - 2 , then

y = - 2x + c ← is the partial equation

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

using (- 2, 7 )

7 = - 2(- 2) + c = 4 + c ( subtract 4 from both sides )

3 = c

y = - 2x + 3 ← equation of line