Math Problem Statement
Solution
The equation provided in the image is:
Step 1: Identify the slope
This is in point-slope form, which is:
Where:
- is the slope of the line.
- is a point on the line.
Here, we can see that . Thus, the slope is -2.
Step 2: Identify a point on the line
Looking at the equation:
It is similar to , so comparing with the point-slope form, we see:
Thus, one point on the line is (-5, 5).
Summary:
- Slope: -2
- Point on the line: (-5, 5)
Would you like more details or have any questions?
Here are 5 related questions to deepen your understanding:
- How do you convert an equation from point-slope form to slope-intercept form?
- How does the slope of a line affect its steepness?
- Can you find another point on the line by substituting a different value for ?
- How would you graph the line using the slope and the point found?
- What is the y-intercept of this line?
Tip: The slope tells you how much the y-value changes for every unit increase in the x-value. If the slope is negative, the line will slope downward.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Point-Slope Form
Formulas
y - y1 = m(x - x1)
Theorems
Point-Slope Form Theorem
Suitable Grade Level
Grades 8-10
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