There are two possible cases to express an equation of a straight line in slope-intercept form in mathematics algebraically. The two linear equations are used as formulas in geometry to express equations of straight lines directly when slope and intercept are known.

It is an equation of a straight line when a straight line intersects the horizontal axis with some slope and $x$-intercept.

$x \,=\, m’y+c$

It is an equation of a straight line when a straight line intersects the vertical axis with some slope and $y$-intercept.

$y \,=\, mx+c$

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