Math Problem Statement
find the equation using the formula y=mx+b
Find the equation of the line using the formula y = mx + b
Solution
To find the equation of the line in the form , we need to determine two things:
- The slope of the line.
- The y-intercept , which is where the line crosses the y-axis.
Step 1: Find the slope
The slope is the "rise over run," which measures how steep the line is. The formula for the slope between two points and is:
From the image, let's choose two points on the line. We can clearly see that:
- One point is (left side of the graph).
- Another point is (right side of the graph).
Now, calculate the slope:
So, the slope .
Step 2: Find the y-intercept ( b
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
-
Suitable Grade Level
Grades 7-9