Question

a straight line passes through point (2,6) and 9,20) what is the equation of the line in slope-intercept form

Answer 1

y = 2x + 2

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, 6 ) and (x₂, y₂ ) = (9, 20 )

m =
`(20-6)/(9-2)` =
`(14)/(7)` = 2 , then

y = 2x + c ← is the partial equation of the line

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

using (2, 6 ), then

6 = 2(2) + c = 4 + c ( subtract 4 from both sides )

2 = c

y = 2x + 2 ← equation of line