Final answer:
The graph of the linear equation 3x - 4y = -12 is a line with a slope of 3/4 and a y-intercept of 3.
Step-by-step explanation:
The linear equation 3x - 4y = -12 can be rearranged to solve for y:
4y = 3x + 12
y = (3/4)x + 3
This equation is in slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept. The slope is 3/4, which means that for every 4 units of x, there is a corresponding 3 units of y. The y-intercept is 3, which is the point where the line crosses the y-axis.
Using this information, we can plot the graph of the linear equation. Start by plotting the y-intercept point (0, 3), and use the slope to find other points on the line. For example, if we go 4 units to the right from the y-intercept, we can go 3 units up to find another point on the line.
By connecting these points and extending the line in both directions, we obtain the graph of the linear equation 3x - 4y = -12.
Learn more about Graphing Linear Equations