Math Problem Statement
Solution
Let's find the equation of the line from the graph you uploaded.
To do this, we need to identify the slope and the y-intercept.
-
Find the slope (m): The slope of the line is the ratio of the change in y to the change in x (rise over run). From the graph, it looks like the line decreases by 2 units in y for every 1 unit it moves to the right in x. Therefore, the slope .
-
Find the y-intercept (b): The line crosses the y-axis at , so the y-intercept .
Now that we have the slope and the y-intercept, we can write the equation of the line in slope-intercept form:
Substituting the values of and :
So, the equation of the line is:
Would you like further details or clarification? Here are a few related questions to expand on this:
- How do you find the slope between two points?
- How do you convert the equation from slope-intercept form to standard form?
- What does the y-intercept represent in real-world contexts?
- How do you determine if two lines are parallel or perpendicular from their equations?
- How do you graph the equation step-by-step?
Tip: The slope tells you how steep the line is, and the sign of (positive or negative) shows the direction of the line (up or down).
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope
Y-intercept
Formulas
y = mx + b
Theorems
Slope Formula
Intercept Theorem
Suitable Grade Level
Grades 6-8