Question

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

Answer 1

The equation is y = (-4/5)x + 2/5.

Explanation:

In a slope form equation, y = mx + b where m represents gradient/slope and b is the y-intercept. Given that the slope is -4/5 so you have to find the value of b by substituing the coordinates into the equation :

`y = - (4)/(5) x + b`

`let \: x = 3,y = - 2`

`- 2 = - ( 4)/(5) ( 3) + b`

`- 2 = - (12)/(5) + b`

`b = - 2 + (12)/(5)`

`b = (2)/(5)`

`y = - (4)/(5) x + (2)/(5)`