Question

Help with the two questions above

Answer 1

8. y - 8 = -
`(1)/(2)` ( x + 16)

The equation of a line in ' point-slope form ' is

y - b = m( x - a)→ ( where m is slope and ( a ,b) a point on the line )

slope = (-2 - 8 )/(4 + 16) = (-10)/20 = -
`(1)/(2)`

using m = -
`(1)/(2)` and (a , b) = (-16 , 8)

y - 8 = -
`(1)/(2)` ( x + 16)

9. y- intercept = ( 0 , - 3) and x- intercept = ( 4 , 0)

to find intercepts

let y = 0 and solve for x

let x = 0 and solve for y

x = 0 → 4y + 12 = 0 ⇒ 4y = - 12 ⇒ y = - 3 ⇒ ( 0 , - 3 )

y = 0 → 3x = 12 ⇒ x = 4 ⇒ ( 4 , 0 )