To determine the slope and y - intercept of the line represented by -7x + 3y = -9, convert the equation first to slope - intercept form which is generally expressed as,
y = mx + b
where m is the slope and b is the y-intercept.
3y = 7x - 9
Dividing both sides of the equation by 3,
y = (7/3) x - 3
Thus, the slope is 7/3 and the y-intercept is -3.
