Question

function a\
\

$$\begin{tabular}{|c|c|}\\hline x & y \\\\ \\hline -5 & -20 \\\\ \\hline 2 & 15 \\\\ \\hline 3 & 20 \\\\ \\hline \\end{tabular}$$

\
function b\
(graph of a line on a coordinate plane with x - axis from - 10 to 10 and y - axis from - 10 to 10, passing through points, and with y - intercept at 2)\
which statement is true?\
the slope of function a is greater than the slope of function b.\
the slope of function a is less than the slope of function b.

Explanation:

Step1: Calculate slope of Function A

Use slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$. Take points $(-5, -20)$ and $(2, 15)$.
$m_A = \frac{15 - (-20)}{2 - (-5)} = \frac{35}{7} = 5$.

Step2: Calculate slope of Function B

From the graph, two points on Function B are $(0, 2)$ and $(4, 10)$.
$m_B = \frac{10 - 2}{4 - 0} = \frac{8}{4} = 2$.

Step3: Compare slopes

Since $5 > 2$, slope of A > slope of B.

Answer:

The slope of Function A is greater than the slope of Function B.