The question is somewhat ambiguous because, thanks to limitations of the browser for posting questions, there is no visible sign between ax and by. I will assume it is + but the method is similar.
The simplest method is as follows:
Set x = 0 (cover up the x term) so that by = c and therefore y = c/b.
Mark the point P = (0, c/b) on the coordinate plane.
Set y = 0 (cover up the y term) so that ax = c and therefore x = c/a.
Mark the point Q = (c/a, 0) on the coordinate plane.
Join PQ and extend in both directions.
Done!
The graph of ax + by = c is a straight line going through the points (0, c/b) and (c/a, 0).
It is the graph of a quadratic equation of the formy = ax^2 + bx + c
[ Ax + By = C ] If 'A', 'B', and 'C' are numbers, then the graph is always a straight line, and the equation is a "linear" one.
It is a straight line with gradient -A/B and intercept C/B.
Solve the equation for y. This will give you an equation similar to y = ax + b, where a is the slope, and b is the y-intercept.
ax + by = cThe graph if that equation is a straight line whose slope is (-a/b)and whose y-intercept is (c/b).
A linear equation ?
The graph of ax + by = c is a straight line going through the points (0, c/b) and (c/a, 0).
It is the graph of a quadratic equation of the formy = ax^2 + bx + c
[ Ax + By = C ] If 'A', 'B', and 'C' are numbers, then the graph is always a straight line, and the equation is a "linear" one.
goes through the origin, up and to the right
It is a straight line with gradient -A/B and intercept C/B.
y = ax + b
Solve the equation for y. This will give you an equation similar to y = ax + b, where a is the slope, and b is the y-intercept.
A linear equation.
False
Ax + By = C By = -Ax + C y = (-A/B)x + C/B