Explanation:
We use the equation of line formula:
y = mx + c
We use the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]
using any of two points: (0, 5) and (3, -1)
[tex]\begin{gathered} x_1=0,y_1=5,x_2=3,y_2\text{ = }-1 \\ m\text{ = }\frac{-1-5}{3-0} \\ m\text{ = -6/3 = -2} \end{gathered}[/tex]
slope = m = -2
To get the y-intercept (c), we use any point above
(0, 5) = (x, y)
y = mx + c
5 = -2(0) + c
5 = 0 + c
c = 5
The equation of the line:
y = -2x + 5
first box = -2
second
