The slope-intercept form:
[tex]y = mx + b[/tex]
m - slope
b - y-intercept
We have the point (0, 0) - it's the y-intercept → b = 0.
Therefore we have the equation of a line:
[tex]y=mx[/tex]
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (0, 0) and (1, 6). Substitute:
[tex]m=\dfrac{6-0}{1-0}=\dfrac{6}{1}=6[/tex]
Answer: y = 6x
