Answer
true
Work Step by Step
RECALL:
(1) The point-slope form of a line's equation is $y-y_1=m(x-x_1)$ where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
(2) The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope and $(0, b)$ is the line's y-intercept.
(3) The slope $m$ of a line is given by the formula $m=\dfrac{y_2-y_1}{x_2-x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line.
Notice that both forms of a line's equation make use of : (1) the slope, which requires the use of two points on the line; and (2) a point on the line.
Thus, knowing two points on the line is sufficient to write the line's equation.
Therefore, the given statement is true.