Question

Previous Save and complete later Find the equation of a line passing through (2,-4) and (5,5).

Answer 1

y = 3x - 10

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, - 4 ) and (x₂, y₂ ) = (5, 5 )

substitute these values into the formula for m

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

y = 3x + c ← is the partial equation

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

using (5, 5 )

5 = 3(5) + c = 15 + c ( subtract 15 from both sides )

- 10 = c

y = 3x - 10 ← equation of line