Please help! Malia incorrectly graph the equation y=2/3x+12 with a slope of 3/2. What should malia's corrected graph look like?
The answers can be:
A. Vertical
B. Horizontal
C. Less Steep
D. More Steep
P.S. The / doesn't mean divide in this equation. It is refering to a fraction.
it should be less steep
Thank you Mr. Bob Pursley!
To correct Malia's graph of the equation y=2/3x+12 with a slope of 3/2, we need to understand the relationship between the slope of a line and its graph.
The slope of a line represents how steep the line is. A positive slope means the line goes up from left to right, while a negative slope means the line goes down from left to right. Additionally, the larger the absolute value of the slope, the steeper the line.
In this case, the original equation has a slope of 2/3. However, we need to correct it to a slope of 3/2.
To compare the slopes, we can rewrite both slopes with the same denominator:
Original slope: 2/3 = 4/6
Corrected slope: 3/2 = 9/6
Now that both slopes have the same denominator, we can compare them. The corrected slope of 9/6 is larger than the original slope of 4/6. This means the corrected line should be steeper than the original line.
Therefore, the corrected graph (D. More Steep) should have a steeper slope than the original graph.
Remember, you can visualize and compare the slopes of lines by looking at their graphs or by converting the slopes to a common denominator and comparing the resulting values.