### 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 -8 y = -56# 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=-8#

#q=7#

Because if #(p,0)# lies on the line, then #7 p -8\cdot 0 = -56# applies (this follows from entering #x=p# and #y=0# in #7 x -8 y = -56#). This is a

Similarly, entering #x=0# and #y=q# in the equation #7 x -8 y = -56# gives the linear equation #-8\cdot q = -56# with solution #q=7#.

#q=7#

Because if #(p,0)# lies on the line, then #7 p -8\cdot 0 = -56# applies (this follows from entering #x=p# and #y=0# in #7 x -8 y = -56#). This is a

*linear equation*with unknown #p#, where #p=-8# is the solution.Similarly, entering #x=0# and #y=q# in the equation #7 x -8 y = -56# gives the linear equation #-8\cdot q = -56# with solution #q=7#.

Unlock full access

Teacher access

Request a demo account. We will help you get started with our digital learning environment.

Student access

Is your university not a partner?
Get access to our courses via

Or visit omptest.org if jou are taking an OMPT exam.

**Pass Your Math**independent of your university. See pricing and more.Or visit omptest.org if jou are taking an OMPT exam.