Question

Using the point-slope formula, what is the equation of the line that passes through the points(1,5)and(0, 0)?

Answer 1

The equation of the line that contains point O(0; 0): y = mx.

$m=\dfrac{y_0}{x_0}$

$(1;\ 5)\to x_0=1;\ y_0=5\\\\subtitute:m=\dfrac{5}{1}=5$

Answer: $\boxed{y=5x}$