Let's find 2 decipherable points on the graph.
1. (0, 4)
2. (4, 0)
Now, solve for slope.
Slope formula: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in and solve: [tex] \frac{0-4}{4-0} = \frac{-4}{4} = -1[/tex]
Slope: [tex]-1[/tex]
Finally, plug into point-slope formula and solve for slope-intercept.
Point-slope formula: [tex]y - y1 = m(x - x1) [/tex] where m = slope
Plug in and solve for slope-intercept.
[tex]y - 4 = -1(x - 0)
y - 4 = -1x + 0
Add 4 both sides
y = -1x + 4[/tex]
Answer: [tex]y = -x + 4[/tex]
