Q: Does a graph of a linear equation always have an x intercept?

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You can graph a linear equation slope intercept by solving the equation and plugging in the numbers : y=mx+b

At a y-intercept, the graph touches the y-axis, meaning the value of x is 0. So, in any linear equation, simply set x equal to 0 and solve for y. In the slope-intercept form of a linear equation (y = mx + b), the y-intercept value is represented by the variable b.

No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.

You could put the equation in slope-intercept form or in parent linear function or even make a table of values.

The graph must have at least one intercept.

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You can graph a linear equation slope intercept by solving the equation and plugging in the numbers : y=mx+b

The y-intercept of a linear equation is the point where the graph of the line represented by that equation crosses the y-axis.

At a y-intercept, the graph touches the y-axis, meaning the value of x is 0. So, in any linear equation, simply set x equal to 0 and solve for y. In the slope-intercept form of a linear equation (y = mx + b), the y-intercept value is represented by the variable b.

At the x-intercept on the graph of the equation, y=0. Take the equation, set 'y' equal to zero, and solve the equation for 'x'. The number you get is the x-intercept.

No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.

The equation 2x - 3y = 6 is a linear equation and a linear equation is always has a straight line as a graph

You could put the equation in slope-intercept form or in parent linear function or even make a table of values.

First write it in the "slope-intercept" form : y = mx + c Then the y-intercept is (0, c)

The graph must have at least one intercept.

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.

To find the y-intercept from a graph - look at where the graph of the line intersects the y-axis. The point at where the graph of the line crosses the y-axis will be the y-intercept with the coordinates of (0,y) The point at which the line cuts the y – axis is called as y – intercept.You can locate the point by seeing the graph.Note:If you are given a linear equation say ax + by + c = 0Now if we plug x = 0 in the given equation we will get the y – intercept.y = -c/bIf the given equation is of the form y = mx + bb is the y – intercept of the line. Source: www.icoachmath.com

Yes