Question

Please help with this question! Thanks!! I will mark brainliest if it lets me!

Answer 1

Answer:

$\large\boxed{D)\ y=\dfrac{1}{5}x+5}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

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

From the graph we have the y-intercept (0, 5) ⇒ b = 5

and the other point (5, 6).

Put the coordinates of the point to the formula of a slope:

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

Finally we have the equation:

$y=\dfrac{1}{5}x+5$