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

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No; if the slope is zero and it is above or below y=0 it will not have an x intercept.

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.

That must depend on the equation that has not been shown

The x-intercept is where the line intersects with, or crosses, the x axis. To find it, take the equation, put in 0 for y, and solve for x. The intercept will be (#,0).

-3

The y-intercept of a linear equation is the point on the y-axis at which the line cuts.It could be found by plugging x = 0 in the given linear equation.For example,Consider 3x + 2y = 6. To find the y-intercept just plug x = 0 in the equation.3(0) + 2y = 62y = 6y = 3(0, 3) is the y-intercept of the linear equation 2x + 3y = 6.Note:In the same way we can find the x-intercept by plugging y = 0 in the given linear equation.

It is -7.

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.

table of values,x and y-intercept and slope and y-intercept

No. In a linear equation, y = mx + b, the slope is m, and the x intercept is where mx + b = 0.

5x - 6 = -25x = 4x = 4/5, the intercept

At the y-intercept, x=0 .-2y = 18y = -9

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