EQUATIONS OF HORIZONTAL AND VERTICAL LINES

In general, linear equation is a function whose graph is a straight line and it is typically written as

y = mx + b,

where m is the slope and b is the y-intercept.

An horizontal lines goes left and right and its equation is in the form of

y = b,

where b represents the y-intercept.

A vertical line goes up and down and its equation is in the form of

x = a,

where a represents the shared x-coordinate of all points.

Example 1 :

Write the equation of the line that passes through (-1, 2) and (3, 2).

Solution :

Plot (-1, 2) and (3, 2).

Connect with a straight line.

Equation of the line is y = 2.

Example 2 :

Write the equation of the line that passes through (-2, 3) and (-2, 1).

Solution :

Plot (-2, 3) and (-2, 1).

Connect with a straight line.

Equation of the line is x = -2.

Example 3 :

Write the equation of the line that passes through (0, -4) and (4, -4).

Solution :

Plot (0, -4) and (4, -4).

Connect with a straight line.

Equation of the line is y = -4.

Example 4 :

Write the equation of the line that passes through (0, 5) and (0, -3).

Solution :

Plot (0, 5) and (0, -3).

Connect with a straight line.

Equation of the line is x = 0.

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