Answer:
[tex]\large\boxed{y=\dfrac{6}{5}x-5}[/tex]
Step-by-step explanation:
The slope0intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
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From the graph we have two points:
(0, -5) → b = -5
(5, 1)
Calculate the slope:
[tex]m=\dfrac{1-(-5)}{5-0}=\dfrac{1+5}{5}=\dfrac{6}{5}[/tex]
Put the value of a slope and of an y-intercept to the equation of a line:
[tex]y=\dfrac{6}{5}x-5[/tex]
