Math Problem Statement
Identify the slope and y-intercept of the line below
Solution
I can see the image of your Algebra test question, which asks you to identify the slope and y-intercept of the given line.
Step 1: Identify Two Points on the Line
From the graph, I will identify two points where the line crosses grid intersections. It appears that the line passes through:
- (0, 3) (this is the y-intercept)
- (3, 0) (another point on the line)
Step 2: Calculate the Slope
The formula for slope is:
Using the points and :
Step 3: Identify the Y-Intercept
The y-intercept is the point where the line crosses the y-axis. From the given points, the line crosses the y-axis at (0,3), so:
Final Answer:
- Slope
- Y-Intercept
Would you like a more detailed explanation or graphing steps?
Here are 5 related questions for practice:
- How do you determine the slope from a graph using rise over run?
- If a line has a positive slope, what does it mean about its direction?
- What does a slope of 0 indicate about a line?
- How do you write the equation of a line given the slope and one point?
- What happens to the graph of a line when you change its y-intercept?
Tip:
A negative slope means the line slants downwards from left to right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope and Intercept
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Equation of a line: y = mx + b
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 7-9