Math Problem Statement
What is the x-intercept when 5x + 3y = 15 is graphed?
Solution
The question visible in the image is:
"What is the x-intercept when 5x + 3y = 15 is graphed?"
To find the x-intercept, set and solve for .
Starting with the equation: Set : Solve for :
Thus, the x-intercept is .
Would you like more details on this solution, or do you have any questions?
Here are five related questions for practice:
- How do you find the y-intercept of the same equation?
- What are the slope and y-intercept of the line ?
- How do you graph the line given by ?
- If the equation was , what would the new x-intercept be?
- What is the general method for finding the x-intercept of any linear equation?
Tip: To find the x-intercept, always set and solve for !
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Equations
Coordinate Geometry
Formulas
General form of a linear equation: Ax + By = C
To find x-intercept, set y = 0 and solve for x
Theorems
Intercept theorem (relation between a line and its intercepts on coordinate axes)
Suitable Grade Level
Grades 8-10