Answer:
y = -4/3x + 3
Explanation:
General equation of the standard form:
Currently, the line 4x + 3y = 9 is in the standard form of a line, whose general equation is given by:
Ax + By = C, where
- A, B, and C are constants.
General equation of the slope-intercept form:
The general equation of the slope-intercept form is given by:
y = mx + b, where
- m is the slope,
- and b is the y-intercept.
Converting from standard form to slope-intercept form:
Thus, we can convert from standard form to slope-intercept form by isolating y:
(4x + 3y = 9) - 4x
(3y = -4x + 9) / 3
y = -4/3x + 3
Therefore, y = -4/3x + 3 is the slope-intercept form of 4x + 3y = 9.