Question

The eauation of the line has the points (0,-1) and (2,5) is:

Answer 1

y = 3x - 1

Explanation:

the equation of a line in slope- intercept form is

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 5)

m =
`(5+1)/(2-0)` =
`(6)/(2)` = 3

the line crosses the y-axis at (0, - 1) ⇒ c = - 1

y = 3x - 1 ← equation of the line