Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
2 answers:
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
where
m is the slope
b is the y-intercept
In this problem we have
substitute
The easiest way to graph a line is with a pair of points.
Find the intercepts
The y-intercept is given ----> point (0,2)
The x-intercept is the value of x when the value of y is equal to zero
For y=0
so
The x-intercept is the point (-4,0)
Plot the intercepts and join the points to graph the line
using a graphing tool
The graph in the attached figure
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By using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.
<h3>What is a function?</h3>A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
<h3>The types of function.</h3>In Mathematics, there are different types of functions and these include the following;
- Periodic function
- Inverse function
- Modulus function
- Signum function
- Piece-wise defined function.
- Logarithm function
A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:
y = logₐₓ
y = log₁₀10
y = log₁₀10 = 1.
Therefore, if log₁₀x < 1, then, x < 10. Also, if log₁₀x > 1, then, x > 10.
For this exercise, you should take note of this deductive points:
- The upper left number can't be smaller than 1 but its log must be the smallest. Thus, if the exponent equals 0, the red box can assume any number.
- The fractions in the lower left and upper right should be as large as possible with their denominators being small while their numerators are large.
In conclusion, by using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.
Read more on logarithm function here: brainly.com/question/26788007
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