Math Problem Statement
n the equation y=−2/3 x+2, the slope is −2/3 and the y-intercept is 2.
1 point
TRUE
FALSE
Solution
The statement is TRUE.
In the equation , the slope-intercept form of a line is used, which is given by:
where is the slope and is the y-intercept. In this equation:
- The slope is .
- The y-intercept is .
Since both the slope and y-intercept are correctly identified, the statement is true.
Would you like more details or have any further questions? Here are 5 related questions to deepen your understanding:
- How do you find the slope of a line from two points?
- How do you convert a linear equation from standard form to slope-intercept form?
- What does the slope of a line tell you about the direction of the line?
- How do you graph a line given its slope and y-intercept?
- What happens to the graph of a line if the y-intercept is negative?
Tip: In the slope-intercept form , the value of determines how steep the line is, and tells you where the line crosses the y-axis.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-intercept form y = mx + b
Theorems
Slope-intercept theorem
Suitable Grade Level
Grades 6-8