Math Problem Statement
Graph the line with the equation y, equals, minus, one fifth, x, plus, 4y=− 5 1 x+4.
Graph the line with the equation y = -1/5x + 4.
Solution
The equation you provided is .
Let's break this down:
- The slope of the line is . This means that for every 5 units you move to the right along the x-axis, you move 1 unit down along the y-axis.
- The y-intercept is 4. This means the line crosses the y-axis at .
Steps to graph:
- Start by plotting the y-intercept at the point .
- From this point, use the slope . Move 5 units to the right (positive direction on the x-axis), then 1 unit down (negative direction on the y-axis). This gives you a second point at .
- You can also move 5 units to the left (negative x-direction) and 1 unit up (positive y-direction) to get another point at .
Connect these points with a straight line, and you will have the graph of .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b (Slope-Intercept Form)
Slope = -1/5
y-intercept = 4
Theorems
-
Suitable Grade Level
Grades 8-10