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).

Question

x +
y =

Answer 1

To convert the point-slope form y + 1 = (x - 8) to standard form Ax + By = C, we need to simplify the equation and put it in the form Ax + By = C.

y + 1 = x - 8
y = x - 8 - 1
y = x - 9

So the equation of the line in slope-intercept form is y = x - 9.

To convert this into standard form Ax + By = C format, we need to rearrange the equation:

y = x - 9
0 = x - y - 9
0 = x - y - 9
0 - x + y + 9
x - y = 9

Therefore, the equation of the line passing through the points (8, -1) and (2, -5) in standard form is x - y = 9.