Answer:
x - 5y = 5
Step-by-step explanation:
Let's represent the equation of the graph in slope-intercept form, y = mx + b.
We'd need to find slope (m) and y-intercept (b) of the graph.
Slope (m) = ∆y/∆x
Using two points on the line, (0, -1) and (5, 0),
Slope (m) = (0 - (-1)) / (5 - 0) = 1/5
m = ⅕
y-intercept (b) is the point on the y-axis where the line intercepts the y-axis = -1
Therefore, b = -1
To write the equation, substitute m = ⅕ and b = -1 into y = mx + b
Thus:
y = ⅕(x) + (-1)
y = ⅕(x) - 1
Rewrite in standard form:
-⅕x + y = -1
Multiply both sides by -5
-⅕x*-5 + y*-5 = -1*-5
x - 5y = 5
