Answer:
To find the slope and y-intercept of the equation 4x - 3y = 12, you can begin by rearranging the terms to put the equation in slope-intercept form, which is y = mx + b:
4x - 3y = 12
-3y = -4x + 12
y = -4/3 x + 4
In this equation, the slope (m) is -4/3 and the y-intercept (b) is 4.
The slope of a line is a measure of its steepness, and it is calculated as the rise (vertical distance) over the run (horizontal distance) between two points on the line. In this case, the slope is -4/3, which means that for every 3 units of horizontal distance, the line rises (or falls) 4 units.
The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is (0, 4), which means that the line crosses the y-axis at the point (0, 4). This is the point where the line would intersect the y-axis if it were extended to the left or right indefinitely.