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A linear equation or first-degree equation is an equation such as 3x - y = 1 in which no variable has no exponent other than 1.

To solve this equation we first write the equation in slope-intercept form as y = 3x - 1 (this is the same thing as we write: f(x) = 3x - 1, because f(x) = y). Then prepare a table of values that includes three points whose coordinates satisfy the equation of the line:

We give the values for x, substitute the x-values into the equation of the line to obtain the corresponding y-values.

For example,

for x = -1; y = 3(-1) - 1 = -4 Solution is (-1, -4), the first point

for x = 0 ; y = 3(0) - 1 = -1 Solution is (0, -1), the second point

for x = 1 ; y = 3(1) - 1 = 2 Solution is (1, 2), the third point

Plot the three solution points in the coordinate plane, then connect these points with a straight line. If it is not possible to draw a line that contains all three points, then you made a mistake either in calculating the coordinates of at least one of the points or in plotting them

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Q: How do you write a linear equation with a table of x and fx?
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