a line has a slope of -1/3 and passes through the point (3,9) what is the equation of the line in standard form
To find the equation of the line in standard form (Ax + By = C), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Given the slope m = -1/3 and the point (3, 9), we can substitute these values into the point-slope form:
y - 9 = (-1/3)(x - 3)
Now, let's simplify the equation:
3(y - 9) = -x + 3
3y - 27 = -x + 3
3y + x = 30
x + 3y = 30
Therefore, the equation of the line in standard form is x + 3y = 30.