Question

Slope is 3,and (2,5) is on the line.

Answer 1

Standard form of line:

Ax + By = C

where A, B, and C are integers, and A is positive

slope-point form of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line. Replacing with m = 3 and point (2, 5):

y - 5 = 3(x - 2)

y - 5 = 3x - 3(2) distributing

y - 5 = 3x - 6

y - 5 - y = 3x - 6 - y subtracting y at both sides

- 5 = 3x - 6 - y

- 5 + 6 = 3x - 6 - y + 6 adding 6 at both sides

1 = 3x - y which has the standard form