Question

Find the equation of a line that passes through the point (2,3) and has a gradient of 3.

Leave your answer in the form
ax+by=c
Where
a and b
and c are integers.

Answer 1

-3x+y = -3

Explanation:

First, I would write this in the point slop form of a line and the translate it into the standard form of a line.

`y_(1)` - y = m(
`x_(1)` -x) If the slope from of a line. Put in the x, y and the slope. You call the gradient, what I would call the slope.

y - 3 = 3(x -2) Distribute the 3

y - 3 = 3x -6 Subtract 3 from both sides

-3x + y - 3 = -6 Add 3 to both sides

-3x + y = -6