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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