Math Problem Statement
what type of slope the Line has.(3,5) and (-1,2)
Solution
To find the slope of a line passing through the points and , we use the slope formula:
Where:
- =
- =
Now, substituting the coordinates into the formula:
Thus, the slope of the line is , which means the line rises 3 units for every 4 units it moves horizontally to the right.
Do you want a more detailed explanation or have any questions?
Here are some related questions you might find interesting:
- How do you determine if the line is increasing or decreasing based on its slope?
- What happens if the slope is negative?
- How can the slope formula be used to find the equation of a line?
- What is the slope of a horizontal and vertical line?
- How do you graph a line if you know its slope and a point on the line?
Tip: When calculating slope, always pay attention to the order of the points you subtract. It can affect the sign of your slope.
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Math Problem Analysis
Mathematical Concepts
Slope
Linear Equations
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope of a line between two points
Suitable Grade Level
Grades 7-9
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