On a graph sheet , we can draw infinite number of lines, for each line we draw, they make an angle θ with x axis. if that angle is 90 degrees then that line will be vertical line, on a vertical line the x coordinate is always same, so the vertical line equation is X=C , where C is the point through which the line passes x-axis. the vertical line test is always parallel to y axis, since the equation of y axis is X=0 , the line parallel to y axis the vertical line equation is X=c.
in the grpah below, there are some vertcal lines which passes throuh 1,3,-2,-5 points on x axis, the vertical line equations are x=1, x=3, x=-2 and x=-5 respectively.
slope of vertical line equation:
slope of a vertical line equation is arc tan(90) which is infinity.and there is no y intercept for the verical line since it does not cut y axis as it is parallel to y axis always.
Between, if you have problem on these topics system of inequalities solver, please browse expert math related websites for more help on word problems math.
Examples on Vertical Line Equations
Q 1: Find equation of line which passes through (5,0) and parallel to y axis
sol : the vertical line equation is of the form X=c, here c=5
so, th equation of vertical line is x=5.
Q 2 : Find vertical line equation which passes through (-7,0)
sol : the vertical line equation is of the form X=c, here c=-7
so, th equation of vertical line is x=-7
Some more Examples on Vertical Line Equation
Q 3: Find vertical line equation which passes through (7,0)
sol : the vertical line equation is of the form X=c, here c=7
so, th equation of vertical line is x=7
Q 4: Find vertical line equation which passes through (-6,0)
sol : the vertical line equation is of the form X=c, here c=-6
so, th equation of vertical line is x=-6
No comments:
Post a Comment