For the function in front of you, the slope is?
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For the function in front of you, the slope is?
To solve this problem, follow these steps:
Now, let's work through these steps:
Step 1: The graph shows a straight line that starts higher on the left side and descends towards the right side.
Step 2: As the line moves from left to right, it descends. This is a key indicator of the slope type.
Step 3: A line that moves downward from the left side to the right side of the graph (decreasing in height as it proceeds to the right) is characteristic of a negative slope. Conversely, a positive slope would show a line ascending as it moves rightward.
Therefore, the solution to the problem is the line has a negative slope.
Negative slope
What is the solution to the following inequality?
\( 10x-4≤-3x-8 \)
Think of climbing stairs! When you move from left to right: going upward is positive (like climbing up), going downward is negative (like going down). The line in this problem goes down from left to right, so it's negative.
No! Steepness affects the slope's value (how big the number is), but direction determines the sign (positive or negative). A very steep downward line is still negative, just a large negative number.
You need specific points to calculate the exact value using . From visual inspection alone, you can only determine if it's positive or negative by the direction.
A horizontal line has zero slope! It doesn't rise or fall as you move from left to right - it stays perfectly flat. Vertical lines have undefined (not zero) slope.
This gives you a consistent reference direction! If you sometimes check right to left, you'll get confused about signs. Always use left-to-right as your standard direction for determining slope sign.
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