Question

How do you find the slope of $2y = 10$?

Answer 1

Hint: In this question we have to find the slope of the given term. On simplification the term and apply the formula to it. Finally we get the required answer.

Formula used: Slope is $y = mx + b$

Complete step-by-step solution:
For an equation $2y = 10$, we know that we can find the value of $y$, and once we do that, we can substitute the value to find the slope,
Solving $2y = 10$ with simple shifting,
$ \Rightarrow y = \dfrac{{10}}{2}$
Dividing the values to find the answer,
$ \Rightarrow y = 5$
Substituting in slope intercept form,
$ \Rightarrow 5 = mx + b$
Assuming the value of $x$ as $0$,
$ \Rightarrow 5 = m(0) + b$
Solving by simple multiplication,
$ \Rightarrow 5 = 0 + b$
Finding the value of $b$,
$ \Rightarrow b = 5$
Now, we know two values, substituting it in the formula,
$ \Rightarrow 5 = mx + 5$
Shifting constants on one side and subtracting,
$ \Rightarrow mx = 5 - 5$
Finding the value,
$ \Rightarrow mx = 0$
Now, since we had taken $x$ as $0$,
$ \Rightarrow m = \dfrac{0}{x} = \dfrac{0}{0} = 0$

Therefore, the value of slope for an equation $2y = 10$ will be $m = 0$

Note: In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope can also be used for a line tangent to a curve. Or, it can be for a curved line when doing Calculus, where slope is also known as the "derivative" of a function.
For a linear equation, the equation can be simplified to the form $y = mx + b$, where m and b are constants.
For an equation with two variables and two points, the slope of a line is usually represented by the letter $m$. \[\left( {{x_1},{\text{ }}{y_1}} \right)\]represents the first point whereas \[\left( {{x_2},{\text{ }}{y_2}} \right)\]represents the second point.
\[m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}\].
It is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope.