Question

Type the correct answer in each box.

The equation of the line in this graph is y = x + .

Answer 1

y =
`(3)/(2)` x + 3

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

y = (y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 3)

m =
`(3-0)/(0+2)` =
`(3)/(2)`

the line crosses the y-axis at (0, 3) ⇒ c = 3

y =
`(3)/(2)` x + 3