Question

What is the equation of the line"?

o y =
O
x + 1
o y =
x + 1
o y =
x - 1
oy=2x-1

Answer 1

y =
`(4)/(3)` x + 1

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 ) = )0, 1) and (x₂, y₂ ) = (3, 5) ← 2 points on the line

m =
`(5-1)/(3-0)` =
`(4)/(3)`

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

y =
`(4)/(3)` x + 1 ← equation of line