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).

a) 3x + 5y = 29
b) 5x - 3y = 19
c) 3x - 5y = 29
d) 5x + 3y = 19

Answer 1

The equation of the line is x - y = 9.

Step-by-step explanation:

To write the equation of the line in standard form, we need to rearrange the given equation in point-slope form. The given point-slope form is: y + 1 = (x - 8). Let's simplify the equation:

y + 1 = x - 8

Next, we can write the equation in standard form (Ax + By = C) by moving all the terms to one side of the equation:

x - y = 9

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