The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-1, -10) and (1, 0). Substitute:
[tex]m=\dfrac{0-(-10)}{1-(-1)}=\dfrac{10}{1+1}=\dfrac{10}{2}=5[/tex]
y = 5x + b
Put the coordinates of the point (1, 0) to the equation of line:
[tex]0=5(1)+b[/tex]
[tex]0=5+b[/tex] subtract 5 from both sides
[tex]-5=b\to b=-5[/tex]
Answer: y = 5x - 5
