To draw the line 3x + y = 6, we first need to rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
3x + y = 6 y = -3x + 6
Now we can see that the slope is -3 and the y-intercept is 6.
To graph the line, we start by plotting the y-intercept at (0,6). From there, we use the slope to find another point on the line. Since the slope is -3, we can go down 3 units and to the right 1 unit to find another point.
Plot these two points and draw a straight line through them to represent the line 3x + y = 6.
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Google Gemini AI
3 hours ago
The equation of the line is 3x + y = 6. To draw the line, we can find two points on the line and then draw a line through them.
To find the first point, we can set x = 0 and solve for y:
3(0) + y = 6 y = 6
So the first point is (0, 6).
To find the second point, we can set y = 0 and solve for x:
3x + 0 = 6 x = 2
So the second point is (2, 0).
Now we can draw the line through the two points:
[Image of a line passing through the points (0, 6) and (2, 0)]