Drag the points to form a line with a slope of 4 and a negative y-intercept.

Steps to Solve

1. Identify the slope and y-intercept The slope of the line is given as 4, which means for every unit increase in $x$, the value of $y$ increases by 4 units. A negative y-intercept indicates that the line crosses the y-axis below the origin (i.e., where $y < 0$).

2. Slope as a ratio The slope can be expressed as a ratio: $$ m = \frac{\text{rise}}{\text{run}} = \frac{4}{1} $$ This suggests that for every unit you move to the right (increase in $x$), you move up 4 units (increase in $y$).

3. Determine a suitable y-intercept Since the y-intercept must be negative, we can choose a point from which the line will rise. Let’s say we choose $b = -2$. This gives us the point $(0, -2)$ where the line intersects the y-axis.

4. Find additional points using the slope Starting from the y-intercept $(0, -2)$, use the slope to find another point. If you move right 1 unit (to $x = 1$): $$ y = 4(1) + (-2) = 2 $$ So the point is $(1, 2)$.

5. Plotting the points The two points to plot are:

• The y-intercept: $(0, -2)$
• The second point using the slope: $(1, 2)$

6. Draw the line Connect the two points to form the line with a slope of 4 and a negative y-intercept.