Step 2 of 2: Determine the graph of the line with the given \( y \)-Intercept and slope. Answer 2 Points The point given for the \( y \)-intercept, \( (0,-4) \), is marked on the graph. Points can be moved by dragging or using the arrow keys. Any lines or curves will be drawn on whenever a point is moved.
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Mind Expander
To draw the line with the given information, remember that the slope tells you how steep the line is and in which direction it goes. If your slope is positive, the line will rise from left to right, whereas if it’s negative, it will fall. Starting from your \( y \)-intercept point \( (0, -4) \), use the slope to find another point. For example, a slope of 2 means you move up 2 units and to the right 1 unit from your intercept. Mark that new point and simply connect the two with a straight line! A common mistake when plotting lines is forgetting that the slope is a ratio. It can be expressed differently; for instance, a slope of \( \frac{3}{2} \) means go up 3 units for every 2 units right. Remember to always keep the slope ratio in mind, and make sure your points reflect that movement accurately!