Slope is used to describe the steepness, incline, gradient, or grade of a straight line. A higher slope value indicates a steeper incline. The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line. It is also always the same thing as how many rises in one run.
Using calculus, one can calculate the slope of the tangent to a curve at a point.
The concept of slope, and much of this article, applies directly to grades or gradients in geography and civil engineering.
Question:-
Draw the graph of 2x-3y=12. Use the graph to find the slope of line and area between the axes.
Answer:-
This Online help with math shows us ,how to draw the graph for the above problem.
by simplifying the equation we get.
y=0, x=6
y=-2, x=3
y=-4, x=0
We also use the slope formula to get the slope on the line .
Equation of the tangent to the curve
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