find the equation of this line.\nsimplify your answer completely.

Explanation:

Step1: Find the slope ($m$)

The formula for slope is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points on the line: $(0,2)$ (where the line crosses the y - axis) and $(4,5)$. So, $m=\frac{5 - 2}{4 - 0}=\frac{3}{4}$.

Step2: Find the y - intercept ($b$)

The y - intercept is the value of $y$ when $x = 0$. From the point $(0,2)$, we can see that $b = 2$.

Answer:

$y=\frac{3}{4}x + 2$