Question

Can You help me with this question please.

Thanks In Advance.

Answer 1

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

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 gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 4, - 3)

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

since the y-intercept is (0,3 ) then c = 3

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