Question

Write an equation that represents the line

Answer 1

Answer:

$\large\boxed{y=\dfrac{6}{5}x-5}$

Step-by-step explanation:

The slope0intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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From the graph we have two points:

(0, -5) → b = -5

(5, 1)

Calculate the slope:

$m=\dfrac{1-(-5)}{5-0}=\dfrac{1+5}{5}=\dfrac{6}{5}$

Put the value of a slope and of an y-intercept to the equation of a line:

$y=\dfrac{6}{5}x-5$