Math Problem Statement
Solve this
What is the value of y at the point where the line crosses the y-axis? The equation of the line is y + 5 = 6x + 13.
Solution
The equation of the line provided is:
We need to determine the value of at the point where the line crosses the -axis. At the -axis, the value of is always 0.
Step 1: Substitute into the equation
Step 2: Solve for
Thus, the value of when the line crosses the -axis is 8.
Would you like more details or further explanations?
Here are five related questions:
- How do you find the slope of the line from this equation?
- What is the general form of a linear equation?
- How do you find the -intercept of the line?
- Can you express the equation in slope-intercept form ?
- What does the slope of the line represent in this context?
Tip: When a line crosses the -axis, is always 0, which makes finding the -intercept straightforward.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
y + 5 = 6x + 13
y-intercept formula: Set x = 0
Theorems
To find the y-intercept, set x = 0 in the equation of a line.
Suitable Grade Level
Grades 8-10