The slope-intercept form:
[tex]y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
m - slope
b - y-intercept → (0, b)
We have the points (-9, -9) and (0, 1) - y-intercept → b = 1.
Calculate the slope:
[tex]m=\dfrac{1-(-9)}{0-(-9)}=\dfrac{10}{9}[/tex]
Answer: [tex]y=\dfrac{10}{9}x+1[/tex]