Graph the linear equation.
-3x + y = -6
To graph the linear equation -3x + y = -6, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Let's solve for y:
-3x + y = -6
We can rearrange the equation by adding 3x to both sides:
y = 3x - 6
Now, we can see that the slope (m) is 3 and the y-intercept (b) is -6. The slope tells us that for every unit increase in x, y will increase by 3. The y-intercept tells us the point where the line crosses the y-axis, which is (0, -6).
Now we can plot the points and draw the line:
1. Start by plotting the y-intercept, which is the point (0, -6).
2. From the y-intercept, use the slope to find another point. Since the slope is 3, we can count up 3 units vertically and 1 unit horizontally from the y-intercept.
So, from the point (0, -6), move up 3 units and right 1 unit to get the point (1, -3).
3. Now, draw a straight line through these two points.
The graph of the linear equation -3x + y = -6 will be a straight line passing through the points (0, -6) and (1, -3).