Question

How do you graph the function f(x) = -5X?

Answer 1

Hint: In the given question, an equation needs to be solved which is in the form of a linear equation in one variable. General form of the equation of a straight line i.e. y = mx + c will be used. The intercept c is missing but the slope is given as -5. The obtained value will be finally plotted on the graph.

Complete step by step answer:
Now, let’s discuss the question now.
We already know that the slope-intercept form is a general form of a straight line and is expressed as y = mx + c where ‘m’ is a slope and c is a constant and intercepts are m and c.So, for plotting a straight line, first we have to convert the given equation in a slope-intercept form.
Let’s assume that f is a function of x that is equal to the value x for all real numbers x.
If we see the equation, here intercept is not given. The only possible way is if f(x) is a straight line through the origin with a slope of 1. There is no other option.
So, in slope-intercept form:
$\Rightarrow y=-5x+0$
Put x = 1, we will get:
 $\Rightarrow $y = -5
Let’s plot the graph now.

Note: We plot the points by slope and intercept form so that it becomes easy so solve for a particular variable the way we performed here. It is the easiest approach of finding the coordinates of any line. All you need to remember is the general form of the equation of a straight line.