Linear equations are typically represented in slope-intercept format of...
m is the slope, the change-of-y divided by the change-of-x.
b is the y-intercept, the value of y when x=0.
For example, if we are provided two points of a line...
Our first priority is to establish slope...
slope is 2...
The y-intercept, b, is provided as (0,5)...
Another format is standard...
Ax+By=C, neither A nor B equal zero and A is greater than zero.
The slope is -A/B. The slope of 2 would be-(2/1) or (2/-1). The negative one is in the denominator because A must be greater than zero...
To calculate C, we would enter either coordinate. I randomly select the second of (5,15)...
The the other point is the y-intercept of (0,5). We can use this to verify. Such verification can be performed whether or not it is the y-intercept.
The other formula is point-slope...
We will use either point and this will expand into slope-intercept formula. I randomly select the point of (0,5)...
Let's add 5 to both sides...
Let's use the other point, (5,15) to verify results...
I HOPE THIS HELPS!