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Match the k value with the equation it comes from. $\begin{array}{l} y=3 x+2 \\ y=3 x \\ 4 y=16 x \end{array}$
Choose.. Choose... 2 nope 4 3 6 16 Next page

Studdy Solution

STEP 1

1. The equations are linear equations in the form $y = mx + b$ or can be rearranged to that form.
2. The value $k$ refers to the slope of the line, which is the coefficient of $x$ in the equation.
3. We need to identify the slope $k$ for each equation.

STEP 2

1. Identify the slope $k$ for each equation.
2. Match the slope $k$ with the correct equation.
3. Select the correct $k$ value from the given options.

STEP 3

Identify the slope $k$ for each equation:
1. For $y = 3x + 2$ , the slope $k$ is the coefficient of $x$ , which is $3$ .
2. For $y = 3x$ , the slope $k$ is the coefficient of $x$ , which is $3$ .
3. For $4y = 16x$ , we need to rearrange the equation to the form $y = mx$ to identify the slope. Divide both sides by 4:
$y = \frac{16}{4}x$ $y = 4x$
The slope $k$ is $4$ .

STEP 4

Match the slope $k$ with the correct equation:
1. $y = 3x + 2$ has $k = 3$ .
2. $y = 3x$ has $k = 3$ .
3. $4y = 16x$ (or $y = 4x$ ) has $k = 4$ .

STEP 5

Select the correct $k$ value from the given options for each equation:
1. For $y = 3x + 2$ , choose $3$ .
2. For $y = 3x$ , choose $3$ .
3. For $4y = 16x$ , choose $4$ .
The matching $k$ values for the equations are: - $y = 3x + 2$ matches with $k = 3$ . - $y = 3x$ matches with $k = 3$ . - $4y = 16x$ matches with $k = 4$ .

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