Math Problem Statement
Write the linear equation in slope-intercept form and simplify: -25x - 5y = -15
Solution
The equation given is:
We are asked to rewrite this equation in slope-intercept form, which is:
where is the slope and is the y-intercept. Let's work through the steps:
Step 1: Move the -term to the other side
We want to isolate the -term on the left side. Add to both sides of the equation:
Step 2: Solve for
To isolate , divide every term by :
Simplifying the fractions:
Final Answer:
The slope-intercept form of the equation is:
Would you like further clarification or details?
Here are 5 related questions you might find helpful:
- How can you find the slope of a line from two points?
- What does the y-intercept represent in a real-world context?
- How do you graph a line using the slope-intercept form?
- How can you convert slope-intercept form to standard form?
- How can you find the equation of a line parallel to a given line?
Tip: The slope is the coefficient of , and it tells you how steep the line is. A negative slope means the line decreases from left to right.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Algebra
Formulas
y = mx + b
Theorems
-
Suitable Grade Level
Grades 8-10