Question

Can someone pls help me answer this :/​

Answer 1

y = -
`(3)/(2)` x + 6

Explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m =
`(0-6)/(4-0)` =
`(-6)/(4)` = -
`(3)/(2)`

Since the line crosses the y- axis at (0, 6) ⇒ b = 6

y = -
`(3)/(2)` x + 6 ← equation of line