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An** equation** in the form of ax^{2} + bx + c = 0 where 'a' is not equal to zero is called the quadratic equation and the number a, b, and c are called the coefficients of the equations. For example, 5x^{2} + 4x + 8 = 0, 7x^{2} = x - 7, (x -7)^{2 }are all **quadratic equations. **

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**How to determine the slope of a line from the given equation (Form: y = mx + c) **

**Slope = change in vertical distance/change in horizontal distance = rise/run**

This articles explains the detailed concept of a line which shows how to determine the **slope** from the **standard equation of a line** which is in the form of *y* = m*x* + c.

The basic formula to find the slope of a line is

Since, we know that the slope is a measure of the steepnes. Also the slope is a slant/inclination of a line. When you calculate the slope of a line, rearrange the **equation of a line** in a **standard form** i.e. y = mx + b where m is the slope of a line and n is its y-intercept.

How to do this?

First rearrange the equation of a given line into standard form, keep the y term in the left hand side and put the term with x to the right hand side of equation with the change in sign and note that the coefficient of y is a unit value i.e. 1.

For example, Find the slope of the graph 5x + 2y = 10. First keep the y term is left and the term with x in right side. Then the equation comes out 2y = -5x + 10. Now in the **standard form of the equation y = mx + c**, the **coefficient **of y is 1, so we divide the whole equation by 2 and we get y = -5/2 x + 5.

When compare, y = mx + c we have m = -5/2. Thus the **slope of a line** is -5/2.

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If two lines are represented by equations y_{1} = m_{1}*x*_{1} + c and other is *y*_{2} = m_{2}*x*_{2} + c, then m_{1} and m_{2} represent their slopes. It both the lines are perpendicular to each other then m_{1}m_{2} = -1.

For example, 2*y* + *x* = 4 and 2*x* + *y* = -5 are perpendicular lines.

More Details Click here :: Parallel and Perpendicular lines

For example, 2

More Details Click here :: Parallel and Perpendicular lines

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This is the way I had to study math in order to make A's and B's in Algebra, Trig, and Calculus. I was never successful listening in class. I developed a study routine that made me ahead of my classes. This guide is for those who really struggle in math.

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