Question Graph a line with equation $f(x) = -0.25x + 4$ . Select two points on the line to create the graph.

Studdy Solution

STEP 1

Assumptions
1. The function $f(x)=-0.25x+4$ is a linear function.
2. The graph of a linear function is a straight line.
3. To graph a line, we need at least two points on the coordinate plane.
4. We can find points by choosing values for $x$ and calculating the corresponding values for $f(x)$ .

STEP 2

Choose two distinct values for $x$ . It's often convenient to choose 0 and another value, because when $x=0$ , it's easy to find the $y$ -intercept of the line.
Let's choose $x=0$ and $x=16$ .

STEP 3

Calculate the corresponding value of $f(x)$ when $x=0$ .
$f(0) = -0.25 \cdot 0 + 4$

STEP 4

Calculate the value of $f(0)$ .
$f(0) = 0 + 4 = 4$

STEP 5

Now we have our first point, which is the $y$ -intercept of the line: $(0, 4)$ .

STEP 6

Calculate the corresponding value of $f(x)$ when $x=16$ .
$f(16) = -0.25 \cdot 16 + 4$

STEP 7

Calculate the value of $f(16)$ .
$f(16) = -4 + 4 = 0$

STEP 8

Now we have our second point: $(16, 0)$ .

STEP 9

With the two points $(0, 4)$ and $(16, 0)$ , we can graph the line by plotting these points on the coordinate plane and drawing a straight line through them.

STEP 10

Use the line tool to draw a straight line that passes through both points $(0, 4)$ and $(16, 0)$ . This line represents the graph of the function $f(x)=-0.25x+4$ .
The graphing process is complete.

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Question Graph a line with equation $f(x) = -0.25x + 4$ . Select two points on the line to create the graph.

Studdy Solution

STEP 1

Assumptions
1. The function $f(x)=-0.25x+4$ is a linear function.
2. The graph of a linear function is a straight line.
3. To graph a line, we need at least two points on the coordinate plane.
4. We can find points by choosing values for $x$ and calculating the corresponding values for $f(x)$ .

STEP 2

Choose two distinct values for $x$ . It's often convenient to choose 0 and another value, because when $x=0$ , it's easy to find the $y$ -intercept of the line.
Let's choose $x=0$ and $x=16$ .

STEP 3

Calculate the corresponding value of $f(x)$ when $x=0$ .
$f(0) = -0.25 \cdot 0 + 4$

STEP 4

Calculate the value of $f(0)$ .
$f(0) = 0 + 4 = 4$

STEP 5

Now we have our first point, which is the $y$ -intercept of the line: $(0, 4)$ .

STEP 6

Calculate the corresponding value of $f(x)$ when $x=16$ .
$f(16) = -0.25 \cdot 16 + 4$

STEP 7

Calculate the value of $f(16)$ .
$f(16) = -4 + 4 = 0$

STEP 8

Now we have our second point: $(16, 0)$ .

STEP 9

With the two points $(0, 4)$ and $(16, 0)$ , we can graph the line by plotting these points on the coordinate plane and drawing a straight line through them.

STEP 10

Use the line tool to draw a straight line that passes through both points $(0, 4)$ and $(16, 0)$ . This line represents the graph of the function $f(x)=-0.25x+4$ .
The graphing process is complete.

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Question Graph a line with equation f(x)=−0.25x+4f(x) = -0.25x + 4f(x)=−0.25x+4. Select two points on the line to create the graph.

Studdy Solution

STEP 1

STEP 2

Choose two distinct values for xxx. It's often convenient to choose 0 and another value, because when x=0x=0x=0, it's easy to find the yyy-intercept of the line.Let's choose x=0x=0x=0 and x=16x=16x=16.

STEP 3

Calculate the corresponding value of f(x)f(x)f(x) when x=0x=0x=0.f(0)=−0.25⋅0+4f(0) = -0.25 \cdot 0 + 4f(0)=−0.25⋅0+4

STEP 4

Calculate the value of f(0)f(0)f(0).f(0)=0+4=4f(0) = 0 + 4 = 4f(0)=0+4=4

STEP 5

Now we have our first point, which is the yyy-intercept of the line: (0,4)(0, 4)(0,4).

STEP 6

Calculate the corresponding value of f(x)f(x)f(x) when x=16x=16x=16.f(16)=−0.25⋅16+4f(16) = -0.25 \cdot 16 + 4f(16)=−0.25⋅16+4

STEP 7

Calculate the value of f(16)f(16)f(16).f(16)=−4+4=0f(16) = -4 + 4 = 0f(16)=−4+4=0

STEP 8

Now we have our second point: (16,0)(16, 0)(16,0).

STEP 9

With the two points (0,4)(0, 4)(0,4) and (16,0)(16, 0)(16,0), we can graph the line by plotting these points on the coordinate plane and drawing a straight line through them.

STEP 10

Use the line tool to draw a straight line that passes through both points (0,4)(0, 4)(0,4) and (16,0)(16, 0)(16,0). This line represents the graph of the function f(x)=−0.25x+4f(x)=-0.25x+4f(x)=−0.25x+4.The graphing process is complete.

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Question Graph a line with equation $f(x) = -0.25x + 4$ . Select two points on the line to create the graph.

Choose two distinct values for $x$ . It's often convenient to choose 0 and another value, because when $x=0$ , it's easy to find the $y$ -intercept of the line.
Let's choose $x=0$ and $x=16$ .

Calculate the corresponding value of $f(x)$ when $x=0$ .
$f(0) = -0.25 \cdot 0 + 4$

Calculate the value of $f(0)$ .
$f(0) = 0 + 4 = 4$

Now we have our first point, which is the $y$ -intercept of the line: $(0, 4)$ .

Calculate the corresponding value of $f(x)$ when $x=16$ .
$f(16) = -0.25 \cdot 16 + 4$

Calculate the value of $f(16)$ .
$f(16) = -4 + 4 = 0$

Now we have our second point: $(16, 0)$ .

With the two points $(0, 4)$ and $(16, 0)$ , we can graph the line by plotting these points on the coordinate plane and drawing a straight line through them.

Use the line tool to draw a straight line that passes through both points $(0, 4)$ and $(16, 0)$ . This line represents the graph of the function $f(x)=-0.25x+4$ .
The graphing process is complete.