Question

Input in standard form the equation of the given line.

The line that passes through (1, 5) and (-2, 3)

Answer 1

Standard form is Ax + By = C

Answer 2

y = mx + b
5 = 1m + b
3 = -2m + b

5 - m = b
3 + 2m = b

b = b
5 - m = 3 + 2m
5 - 3 = 2m + m
2 = 3m

2/3 = m

b = 3 + 2m
b = 3 + 2(2/3)
b = 3 + 4/3
b = 9/3 + 4/3
b = 13/3

y = (2/3)x + 13/3
y = (2x + 13)/3
3y = 2x + 13
0 = 2x - 3y + 13
-13 = 2x - 3y

Thus the standard form of the line is:
2x - 3y = -13

Answer 3

Great work!

Answer 4

Okay, you should be able to figure them out on your own from here.

Answer 5

@Sephichief