Question

y = 2x - 4
y = -x - 1
plot two lines by clicking the graph.
click a line to delete it.

Explanation:

Step1: Analyze \( y = 2x - 4 \)

To plot the line \( y = 2x - 4 \), we can find two points. When \( x = 0 \), \( y = 2(0)-4=-4 \), so the y - intercept is \( (0, - 4) \). When \( y = 0 \), \( 0=2x - 4\), solving for \( x \) gives \( 2x=4\) or \( x = 2 \), so the x - intercept is \( (2,0) \). We can plot these two points \( (0,-4) \) and \( (2,0) \) and draw a line through them.

Step2: Analyze \( y=-x - 1 \)

For the line \( y=-x - 1 \), when \( x = 0 \), \( y=-0 - 1=-1 \), so the y - intercept is \( (0,-1) \). When \( y = 0 \), \( 0=-x - 1\), solving for \( x \) gives \( x=-1 \), so the x - intercept is \( (-1,0) \). We can plot the points \( (0,-1) \) and \( (-1,0) \) and draw a line through them.

(Note: Since this is a graph - plotting problem, the final answer is the graphical representation of the two lines. The key points for \( y = 2x-4 \) are \( (0, - 4) \) and \( (2,0) \), and for \( y=-x - 1 \) are \( (0,-1) \) and \( (-1,0) \).)

Answer:

To plot \( y = 2x - 4 \), use points \((0, - 4)\) and \((2,0)\). To plot \( y=-x - 1 \), use points \((0,-1)\) and \((-1,0)\). Draw lines through each pair of points.