Which is the graph of the linear equation y=-1/4x=3
There seems to be a mistake in the equation as there are two equals signs. It should be y = -1/4x + 3 or y = (-1/4)x + 3.
To graph this linear equation, we start by finding the y-intercept, which is the point where the line intersects the y-axis. This occurs when x = 0.
So, when x = 0, y = (-1/4)(0) + 3 = 3. Therefore, the y-intercept is (0, 3).
Next, we find the x-intercept, which is the point where the line intersects the x-axis. This occurs when y = 0.
So, when y = 0, 0 = (-1/4)x + 3. Solving for x, we get x = 12. Therefore, the x-intercept is (12, 0).
Now we can plot these two points on the coordinate plane and draw a straight line through them.
Graph of y = (-1/4)x + 3:
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|(0, 3)| |
| |(12, 0)|
The line intersects the y-axis at (0, 3) and the x-axis at (12, 0). It has a negative slope of -1/4, which means it decreases 1 unit in the y-direction for every 4 units it moves to the right in the x-direction.