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.