Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

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 )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

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

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

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

Answer 2

Hey there : y= 3x - 3