Question

Find the slope of the line, whose equation is \[2x + 4y = 10\] ?

Answer 1

Hint: We know that the general form of the equation of a straight line is \[y = mx + c\] . and the coefficient of x is the slope of the straight line. To convert any equation of straight line in the above form we have to divide the whole equation by the coefficient of y.

Complete step-by-step answer:
We know the general form of a straight line is \[y = mx + c\] (1)
 where m is the slope of the line.
We have equation of line
 \[2x + 4y = 10\] .
We will try to change this equation like as equation 1,
 \[4y = 10 - 2x\]
Dividing whole equation by 4, we get
 \[y = \dfrac{{10}}{4} - \dfrac{2}{4}x\]
 \[y = - \dfrac{1}{2}x + \dfrac{5}{2}\]
So, from comparing the above equation with equation \[1\] .
The value of m or the slope of the straight line is \[ - \dfrac{1}{2}\]
So, the correct answer is “ \[ - \dfrac{1}{2}\] ”.

Note: A line is a geometrical shape that does not have any width. It has no endpoints and extends in both directions. It's just a collection of points with a single length. Parallel, perpendicular, intersecting, and concurrent lines are all possible. A sloped position is referred to as a slope. With the base, it makes a particular angle. The angle is calculated in the anti-clockwise direction. The tangent of the inclination is the slope of a line. Finding the difference between the coordinates of two places $(x_1, y_1)$ and $(x_2, y_2)$ can simply compute the slope of a straight line between them. The letter ‘m' is commonly used to denote the slope.