### Linear formulas and equations: Linear equations and inequalities

### Intersection points of linear formulas with the axes

Intersection point with the x-axis

Intersection point with the y-axis

On the line #-7 x -9 y = 63# there is point of the #x#-axis and a point of the #y#-axis. The first point has the form #(p,0)# and the second #(0,q)# for certain numbers #p# and #q#. What are #p# and #q#?

#p=-9#

#q=-7#

Because if #(p,0)# lies on the line, then #-7 p -9\cdot 0 = 63# applies (this follows from entering #x=p# and #y=0# in #-7 x -9 y = 63#). This is a

Similarly, entering #x=0# and #y=q# in the equation #-7 x -9 y = 63# gives the linear equation #-9\cdot q = 63# with solution #q=-7#.

#q=-7#

Because if #(p,0)# lies on the line, then #-7 p -9\cdot 0 = 63# applies (this follows from entering #x=p# and #y=0# in #-7 x -9 y = 63#). This is a

*linear equation*with unknown #p#, where #p=-9# is the solution.Similarly, entering #x=0# and #y=q# in the equation #-7 x -9 y = 63# gives the linear equation #-9\cdot q = 63# with solution #q=-7#.

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