Question

represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Answer 1

`y = (4)/(5) x - (22)/(5)`

Explanation:

`y = mx + b`

`- 2 = (4)/(5) (3) + b \\ - 2 = (12)/(5) + b \\ - 2 - (12)/(5) = b \\ - (10)/(5) - (12)/(5) = b \\ - (22)/(5) = b`

Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is

`y = (4)/(5) x - (22)/(5)`