Question 780921
What you have is two linear ( straight line ) equations
A linear equation is also called a first order equation.
--------------------
The order of an equation is the highest power of {{{ x }}}
You can think of these as:
(1) {{{ y = (1/4)*x^1 - 2 }}}
(2) {{{ y = -4*x^1 - 5 }}}
As you can see, the order is {{{ 1 }}}
-------------------
Straight lines stretch out to infinity in 2 directions, so
if you are given any {{{ y }}} value, you can find an {{{ x }}}
I you are given any {{{ x }}}, you can find a {{{ y }}}
--------------------
I'm not sure what you're supposed to do with the given points.
(8,-1) is not on the line {{{ y = (1/4)*x - 2 }}}
---------------------
You can plot a a point, though, and you can plot the lines.
Also, ( 0,-1) is not on the line {{{ y = -4x - 5 }}}
----------------------
Here is a plot of both lines:
{{{ graph( 400, 400, -10, 10, -10, 10, (1/4)*x - 2, -4x - 5 ) }}}
The lines intersect at right angles. This is because the
slopes of the lines are negative reciprocals of eachother.
The slopes are:
{{{ 1/4 }}} and
{{{ -4 }}}
If the form of the equation is {{{ y = m*x + b }}}, then
{{{ m }}} is the slope
Hope this helps