Question

The table represents a linear function.
X
y
-2
-2
-1
1
0
4
7
10
4
12
2
What is the slope of the function?
-3
-2
3
4

Answer 1

The table is according to values

$\boxed{\begin{array}{c|c}\bf x&\bf y\\ \sf 0&\sf 4\\ \sf 7&\sf 10\end{array}}$

These two can be accessed clearly rest not easily

These two are enough

slope of (0,4) and (7,10)

• 10-4/7
• 6/7

Answer 2

Answer:

slope = 3

Step-by-step explanation:

Given table:

$\begin{array}{|c|c|}\cline{1-2} x & y \\\cline{1-2} -2 & -2 \\\cline{1-2} -1 & 1 \\\cline{1-2} 0 & 4 \\\cline{1-2} 1 & 7 \\\cline{1-2} 2 & 10 \\\cline{1-2}\end{array}$

To find the slope of the linear function represented by the given table, define two points on the line:

$\textsf{let}\:(x_1,y_1)=(-2,-2)$

$\textsf{let}\:(x_2,y_2)=(-1,1)$

Substitute the points in the slope formula and solve for m:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-(-2)}=\dfrac{3}{1}=3$

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