Which is an equation of a line that has a slope of -1/3 and passes through the point (-5, 2)?
1 answer:
Answer:
y= -⅓x +⅓
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
This form is also known as the point-slope form.
Since the slope is given to be -⅓, m= -⅓.
y= -⅓x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -5, y=2,
2= -⅓(-5) +c
Thus, the equation of the line is y= -⅓x +⅓.
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Given:
The graph of a function is given.
To find:
The range of the graph.
Solution:
We know that, the domain is the set of input values and range is the set of output values.
In a graph, domain is represented by the x-axis and range is represented by the y-axis.
From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).
The graph of the function is defined over the interval . So, the domain is (-8,3].
The values of the function lie in the interval . So, the range is (-8,4].
Therefore, the range of the function are all real values over the interval (-8,4].