What is the equation for the line? enter your answer in the box

Mathematics

1 answer:

Igoryamba3 years ago

7 0

To get the equation of the line, you need two points that belong to this line.
From the given graph, we can choose any two points: (0,-4) and (-2,0)

The general for of the linear straight line is:
y = mx + c where m is the slope and c is the y-intercept

First, we will calculate the slope using the following rule:
slope = (y2-y1) / (x2-x1)
slope (m) = (0--4) / (-2-0) = 4/-2 = -2
The equation of the line now is: y = -2x + c

Then, we will get the value of the c. To do so, we will choose any point and substitute in the equation. I will choose the point (0,-4)
y = -2x + c
-4 = -2(0) + c
c = -4

Based on the above calculations, the equation of the line is:
y = -2x - 4

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Mrrafil [7]

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Step-by-step explanation:

Given:

From the graph, we can conclude that:

The function has vertical asymptotes at $x=-3\ and\ x=2$

The function has horizontal asymptote at $f(x)=0$

Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.

Now, as $x \to -3^{+}$ means the right hand limit of the function at $x=-3$

From the graph, the right hand limit is the right side of the asymptote of the function at $x = -3$ . The right side shows that the function is tending towards negative infinity.