Answer:
[tex]y = \frac{1}{4}x - 5[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + b
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-5 - (-4)) / (0 - 4)
= -1 / -4
= 1/4
Find y intercept using anyone of the given points and slope from above:
y = mx + b
[tex]-5 = \frac{1}{4}(0) + b[/tex]
b = -5
Now use the above slope and y intercept to create equation of a line:
[tex]y = \frac{1}{4}x - 5[/tex]
