### 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

The line #x + y = 2# has an intersection point with the #x#-axis and an intersection point with the #y#-axis. The first point has the form #\rv{p,0}# and the second #\rv{0,q}# for certain numbers #p# and #q#. What are #p# and #q#?

#p=2#

#q=2#

Because if #\rv{p,0}# lies on the line, then #p + 1\cdot 0 = 2# applies (this follows from entering #x=p# and #y=0# in #x + y = 2#). This is a

Similarly, entering #x=0# and #y=q# in the equation #x + y = 2# gives the linear equation #1\cdot q = 2# with solution #q=2#.

#q=2#

Because if #\rv{p,0}# lies on the line, then #p + 1\cdot 0 = 2# applies (this follows from entering #x=p# and #y=0# in #x + y = 2#). This is a

*linear equation*with unknown #p#, where #p=2# is the solution.Similarly, entering #x=0# and #y=q# in the equation #x + y = 2# gives the linear equation #1\cdot q = 2# with solution #q=2#.

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.