Provide a 150 word response to the following questions.
Write an equation of a line in standard form (i.e., Ax + By = C form).
Re-write that same equation in slope-intercept (i.e., y = mx + b) form (show the work). Identify the slope and y intercept. Describe this graph (i.e., where does it cross the y axis? Is the line slanting upward or downward? How steep is the line slanting?).
1 Answer | Add Yours
`Ax+By=C` , it is in an equation of straight line because both
power of x and power of y are one. However in some text book the standard form of line is `Ax+By+C=0` .So you can ref you text book.
I consider your equation `Ax+By=C`
Transfer x term from left to right.
which is now in form of slope intercept form
compare equations (i) and (ii),you will get
intercept `c=C/B` .
solpe is negative or positive ,it depend on sign of A and B
1. A is positive and B is negative then slope m >0.
2. A is negative and B is positive then slope m >0
i.e. if A and B are opposite in sign then slope will positive.
if A and B are of same sign then slope will negative.
It will cross y axis at (0,`C/B` ).
You can better understand if consider some fixed numbers other than A,B, and C.
We’ve answered 319,198 questions. We can answer yours, too.Ask a question