Question

what is the slope of this line?
the coordinate grid with a blue line passing through points. the options are $\boldsymbol{-\frac{5}{3}}$, $\boldsymbol{-\frac{3}{5}}$, $\boldsymbol{\frac{3}{5}}$, $\boldsymbol{\frac{5}{3}}$.

Explanation:

Step1: Identify two points on line

Choose points (0, 1) and (3, 6) (clear grid intersections).

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{6 - 1}{3 - 0} = \frac{5}{3}$

Answer:

$\boldsymbol{\frac{5}{3}}$ (matches option: $\frac{5}{3}$)