Question

Copy and complete the equation of line G below
y=___x+____

Answer 1

y = 3x + 4

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, 4) and (x₂, y₂ ) = (1, 7) ← 2 points on the line

m =
`(7-4)/(1-0)` =
`(3)/(1)` = 3

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 3x + 4 ← equation of line