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A line that represents an equation typically refers to the graphical representation of a linear equation in two dimensions, often in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept. This line visually illustrates the relationship between the independent variable (x) and the dependent variable (y). Each point on the line corresponds to a solution of the equation, showing how changes in (x) affect (y).
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When is a linear equation an identity?
When the equation represents a horizontal line.
The equation y - 4 equals 0 represents a vertical line?
No. It represents a horizontal line.
What equation represents a line which is parallel to the line x-4y=-8?
4
What does the graph of a line represent?
It represents all solutions to the linear equation.
What equation represents a line perpendicular to the line whose equation is y equals 3x 2?
y = - 1/3 x + any number.
When is a linear equation an identity?
When the equation represents a horizontal line.
The equation y - 4 equals 0 represents a vertical line?
No. It represents a horizontal line.
What equation represents a line perpendicular to the line whose equation is y=-4x+7 ?
3
Which equation represents a line that is parallel to the line whose equation is 2x 3y12?
2y= 3x+6
What is the equation of a line in slope-intercept form?
The equation of a line in slope-intercept form is given by y = mx + b, where "m" represents the slope of the line and "b" represents the y-intercept.
What equation represents a line which is parallel to the line x-4y=-8?
4
How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
Which equation represents a line parallel to the y-axis?
x=4
What does the graph of a line represent?
It represents all solutions to the linear equation.
What equation represents a line perpendicular to the line whose equation is y equals 3x 2?
y = - 1/3 x + any number.
What is the equation of a line in standard form?
The standard form equation of a line is y=mx+b. M represents the slope; slope is the change in x over the change in y. B represents the y-intercept.
What equation represents a line with slope of -2 and y-intercept of -5?
3
