Question

How do you find the minimum value of a linear equation?

Answer 1

Hint: Now to find the answer to this question we must understand what a linear equation is and how its values and co-ordinates change. To explain how to find the minimum value of a linear equation we must be able to know how to graph any linear equation.

Complete step-by-step solution:
Now we know that the equation of a linear equation is always \[y=mx+c\] where y stands for the y coordinate and x stands for the x coordinates. m in the equation stands for gradient or slope and c stands for y intercept. An intercept is a point where the curve or a line representing a function touches the axis.
Now a linear equation in the form of \[y=mx+c\] represents a straight line whose slope or gradient is represented by m. Now to find the minimum value of a linear equation.
Now since a linear equation always represents a straight line therefore we need to find a minimum value of a straight line. Now we can see that a straight line will never have a minimum value. Depending on the slope the larger u substitute the value of x the y will keep becoming larger assuming the slope is positive therefore the maximum and minimum value will not exist until infinity and even then keep increasing so we can say that a linear equation doesn’t have a minimum value or maximum value

Note: An alternative method we can find the answer to this question is taking derivative of the linear equation \[y=mx+c\]
This gives us
\[\dfrac{dy}{dx}=m\]
Now we can see that the double derivative doesn’t exist therefore we can say that a linear equation doesn’t have either minimum or maximum.