Question

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y =- 2 /3x +8 . What is the point-slope form of the equation for this line? y – 3 = –2/3 (x + 8) y + 3 = -2/3 (x - 8) y + 8 = - 2/3 (x - 3) y - 8 = -2/3 (x + 3 )

Answer 1

y - 8 = -
`(2)/(3)`(x + 3)

Explanation:

y = -
`(2)/(3)` x + 8 ← is in slope- intercept form with slope m = -
`(2)/(3)`

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = -
`(2)/(3)` and (a, b) = (- 3, 8), thus

y - 8 = -
`(2)/(3)` (x - (- 3)), that is

y - 8 = -
`(2)/(3)` (x + 3)