Question

Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =

Answer 1

2x + -3y = 19

Explanation:

I promise

Answer 2

2x -3y = 19

Explanation:

For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (-5-(-1))/(2 -8)(x -8) +(-1)

y = -4/-6(x -8) -1

3y = 2x -16 -3 . . . . multiply by 3

2x -3y = 19 . . . . . . rearrange to standard form

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The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.