Answer: The y-intercept is (0, 4), the slope is -1/2, and the two plotted points are (0, 4) and (2, 2).
Step-by-step explanation:
- Put the equation in slope-intercept form (y = mx + b), where b denotes the y-intercept and m the slope.
3x + 6y = 24
6y = -3x + 24
y = x + (24/6) + (-3/6)
y is equal to (-1/2)x + 4.
- Identify the slope (m) and y-intercept (b).
Slope (m) = -1/2
Y-intercept (b) = 4
- Draw the graph's y-intercept.
y=4 when x=0. Thus, the point (0, 4) is the y-intercept.
- Use the slope to find another point.
The slope -1/2 means that for every 2 units we move horizontally to the right (positive x direction), we move 1 unit down vertically (negative y direction). Starting from the y-intercept (0, 4), we can move 2 units to the right to (2, 4) and then 1 unit down to (2, 2).
- Plot the second point, then expand the line with arrows by drawing a line through the two points.
- Mark the line with the y-intercept and slope, and use arrows to show which way the line is pointing.
