Question

A line passes through the points (1.4) and (2, 2). What is the equation of this line?

Answer 1

.5 is the slope and y=my+b is ur line equation

Answer 2

y = - 2x + 6

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 ) = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

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

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

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

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line