Questions: 2. Leron claims that you cannot graph y=0.5x because there is no y-intercept. Is he correct? Why or why not?

Transcript text: 2. Leron claims that you cannot graph $y=0.5 x$ because there is no $y$-intercept. is he correct? Why or why not? $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$

Solution

Solution Steps

Step 1: Identify the equation and its form

The given equation is $ y = 0.5x $. This is a linear equation in the slope-intercept form $ y = mx + b $, where $ m $ is the slope and $ b $ is the $ y $-intercept.

Step 2: Determine the slope and $ y $-intercept

In the equation $ y = 0.5x $, the slope $ m $ is $ 0.5 $, and the $ y $-intercept $ b $ is $ 0 $ (since there is no constant term added to $ 0.5x $).

Step 3: Analyze Leron's claim

Leron claims that the graph of $ y = 0.5x $ cannot be drawn because there is no $ y $-intercept. However, the $ y $-intercept is $ 0 $, which means the line passes through the origin $(0, 0)$. Therefore, the graph can indeed be drawn.

Step 4: Conclusion

Leron is incorrect. The graph of $ y = 0.5x $ can be drawn, and it passes through the origin $(0, 0)$.