Home › STAAR EOC Algebra I › Mathematics › Graphs › According to the Graph of a Linear Equation prop…
According to the Graph of a Linear Equation property, what is true about every point on the line for Ax + By = C?
AEvery point on the line has the same y-coordinate
BEvery point on the line is a solution of the equation
CEvery point on the line is the origin
DEvery point on the line lies on the x-axis
Answer & Solution
Correct answer: B. Every point on the line is a solution of the equation
1. The property states plainly that every point lying on the graph of a linear equation is a solution of that equation.
2. It also states that every solution of the equation is a point on the line, so the two ideas work in both directions.
3. A line can have varying y-coordinates, only one point at the origin, and only crosses the x-axis at a single point, so none of the other options describe every point on it.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.2 Graph Linear Equations in Two Variables_
Related questions
What are the x-intercept and y-intercept of the line x + 4y = 8?What are the x-intercept and y-intercept of the line 3x + y = 12?If two people graph the same line using different sets of three points, how can they confiAccording to the method for graphing a line using the intercepts, what is done immediatelyWhy does the line y = 5x have only one intercept instead of two?What are the x-intercept and y-intercept of the line x + y = 4?What are the x-intercept and y-intercept of the line 4x - 3y = 12?What are the x-intercept and y-intercept of the line 2x + y = 6?