Graph the equation.

3x - 4y = 4

1 answer

To graph the equation 3x - 4y = 4, we can rearrange it to isolate y:

-4y = -3x + 4
y = (3/4)x - 1

Now we have the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

The slope, or m, is 3/4 and the y-intercept, or b, is -1.

To graph this equation, start by plotting the y-intercept at (0, -1). Then use the slope to find additional points on the line.

For example, starting from the y-intercept, go up 3 units and right 4 units (since the slope is 3/4). This will give you a point at (4, 2).

Plot these two points and draw a straight line through them to represent the equation.

The graph of the equation 3x - 4y = 4 is a line with a slope of 3/4 that passes through the points (0, -1) and (4, 2).