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To graph a linear equation, the x-intercept and y-intercept provide two key points on the line. The x-intercept is where the line crosses the x-axis (where y = 0), and the y-intercept is where it crosses the y-axis (where x = 0). By plotting these two points on a Cartesian plane and drawing a straight line through them, you can accurately represent the linear equation. This method is particularly useful for quickly sketching the graph without needing to find additional points.
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Which of the following is the slope-intercept form of the equation?
The slope-intercept form of the equation is y = mx + b, where m represents the slope and b represents the y-intercept. It is used to graph linear equations easily.
What is mx b used for?
The equation ( y = mx + b ) represents the slope-intercept form of a linear equation. In this formula, ( m ) denotes the slope of the line, indicating its steepness and direction, while ( b ) represents the y-intercept, the point where the line crosses the y-axis. This format is commonly used in algebra to easily identify and graph linear relationships between two variables.
What is the definition of slope intercept form?
Slope-intercept form is a way of expressing the equation of a straight line in the format ( y = mx + b ), where ( m ) represents the slope of the line and ( b ) represents the y-intercept, or the point where the line crosses the y-axis. This form makes it easy to identify the slope and y-intercept directly from the equation. It is commonly used in algebra to analyze linear relationships and graph lines.
How is the addition and subtraction equality used in linear equations?
in an equation like y=5x+3 the 3 would be the y-intercept
Graphing linear equation using the slope and y-intercept of the line?
The y-intercept, together with the slope of the line, can also be used in graphing linear equations. The slope and y-intercept of a line can be obtained easily by inspection if the equeation of the line is of the form y=mx+b where m is the slope and b is the y-intercept.
Which of the following is the slope-intercept form of the equation?
The slope-intercept form of the equation is y = mx + b, where m represents the slope and b represents the y-intercept. It is used to graph linear equations easily.
Can linear equation not be rewritten in slope-intercept form?
A linear equation can be written in many different forms. Two forms are used frequently. ax+by=c is standard form as y=mx+b is slope intercept form.
What is y equals 2x-1?
3
How is the addition and subtraction equality used in linear equations?
in an equation like y=5x+3 the 3 would be the y-intercept
Graphing linear equation using the slope and y-intercept of the line?
The y-intercept, together with the slope of the line, can also be used in graphing linear equations. The slope and y-intercept of a line can be obtained easily by inspection if the equeation of the line is of the form y=mx+b where m is the slope and b is the y-intercept.
What are the three forms of a linear equation?
1. Slope-intercept form (most commonly used in graphing) y=mx+b m=slope b=y-intercept 2. Standard form ax+by=c 3. Point slope form (most commonly used for finding linear equations) y-y1=m(x-x1) m=slope one point on the graph must be (x1,y1)
Can you provide an example of how the keyword "1x-11" is used in a mathematical equation?
In a mathematical equation, the keyword "1x-11" can be used to represent a linear expression. For example, in the equation y 1x - 11, the expression "1x-11" represents the slope-intercept form of a line where the coefficient of x is 1 and the y-intercept is -11.
How do you know if numbers show linear relationship?
A linear equation looks like any other equation. It is made up of two expressions set equal to each other. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make the linear equation true and plot those pairs on a coordinate grid, all of the points for any one equation lie on the same line. Linear equations graph as straight lines.
What are the difference between linear equation and quadratic equation?
A linear equation is an equation that defines a relationship between variables, where each side of the equation consists of the sum of one or more terms, where each term must be one of: * A constant * A variable * A constant multiplied by a single variable All linear equations can be written as a first order polynomial equated to zero, but they may be written in many different forms. For example, the following are examples of linear equations, and the same equations written in its general form: * x = y + 5 >> x - y - 5 = 0 * 2x + 6y = 23 >> 2x + 6y - 23 = 0 * 5x + 3y = 4z - 20 >> 5x + 3y - 4z + 20 = 0 A linear equation with n variables defines a set of solutions in n-space, for example a linear equation with two variables defines a line in Cartesian (2D) coordinates, while one with three variables would define a plane in Euclidian (3D) coordinates. A linear equation with two variables defines a line in Cartesian coordinates, that is, if you graph the solutions to the equation on the x,y plane it will define a straight line. As you saw earlier, there are any number of ways that a linear equation may be written, but there are several recognized forms that are normally used. The one that most people are probably most familiar with is the "Slope-intercept" form, which looks like this: y = mx + b where: m is the slope of the line b is the y intercept of the line The shortcoming of this form is that it cannot define lines that are vertical, i.e. lines parallel to the y axis. Thus this form is only valid when y varies as a function of x. To allow the definition of any straight line, other forms must be used, such as: * General Form: Ax + By + C = 0 * Standard Form: Ax + By = C
What is the slope-intercept equation of a line that has a slope of -2 and a y-intercept of 3?
-5
What is the slope-intercept form of a line?
Slope-intercept form is one way of expressing a linear function (a fancy name for a straight line) as an equation.The slope-intercept form is modeled in the following way:y=mx+bwhere m represents the slope of the line and brepresents the y-intercept.Slope represents rate of change (how much y values change in relation to x) and on a graph determines how "sloped" a line is. Values of m close to 0 mean the line is more horizontal, or less sloped. As m approaches negative infinity or positive infinity, the line becomes more vertical, or more sloped.The y-intercept is simply the coordinate where the line crosses the y-axis on a Cartesian Plane. The point is (0, b).The slope-intercept method is popular because of its convenience. Using it, a graph of the line can be constructed very easily by hand without having to rearrange the equation. That said, in practical applications where computer software or graphing calculators are used, the form of a linear equation is less important. Slope-intercept form is often used by teachers and school textbooks.
Which is the x-intercept of the graph of 2x - y 5?
-3
