Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (−2, 5), (3, −3).

**(-2,5) , (3,-3)**

**y2 - y1**

-------- = slope

x2 - x1

-------- = slope

x2 - x1

-3 - 5

-------- = slope {substituted coordinates into slope formula}

3 - (-2)

-8

----- = slope {subtracted in numerator and denominator}

5

(-2,5) and slope = -8/5 {a point and the slope}

**y - y1 = m(x - x1)**{point-slope form}

y - 5 = (-8/5)[x - (-2)] {substituted point and slope into point-slope form}

-5y + 25 = 8(x + 2) {multiplied entire equation by -5 to eliminate fraction}

-5y + 25 = 8x + 16 {used distributive property}

**8x + 5y = 9**{added 5y and subtracted 16 from each side}

*- Algebra House*