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The slope of the line in coordinate plane is the ratio of y-increment to x- increment.
It literally represents "the slope" of the line as if it would be "an inclined plane".
If the line is given by an equation of the form
y = mx + b,
then the slope is the coefficient " m " at the x-term.
if the line is given by an equation
ax + by = c,
then you first express y from the equation
y = = +
and then the slope is THIS NUMBER .
y- intercept is the point in y-axis, where the straight line intersects y-axis.
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Regarding finding the slope, see the lessons
- Find the slope of a straight line in a coordinate plane passing through two given points (*)
- Equation for a straight line having a given slope and passing through a given point
- Solving problems related to the slope of a straight line (*)
- Equation for a straight line in a coordinate plane passing through two given points
- Equation for a straight line parallel to a given line and passing through a given point
- Equation for a straight line perpendicular to a given line and passing through a given point
- Advanced problems on finding equations for straight lines
- OVERVIEW of lessons related to the slope of a straight line
in this site.
Specifically, the lessons marked (*) in the list, are probably most closed to your question, so start with it.
Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.