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Q: Is the graph of y equals 4x2-2x plus 5 a straight line?

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It is a straight line with gradient -A/B and intercept C/B.

5

a straight line (the Y-axis of a coordinate plane)

The graph of [ y = -3x ] is a straight line, through the origin, with slope of -3 .

A linear equation ?

It cannot.

The graph of y = x - 8 is a straight line. The slope of the line is 1, and it intersects the y-axis at the point y = -8.

[ Ax + By = C ] If 'A', 'B', and 'C' are numbers, then the graph is always a straight line, and the equation is a "linear" one.

3

a graph that does not have a straight line

It is a straight line which goes through the points (2,0) and (0, -4)