SATMathematics Practice Test 1

Determine the equation of the line to find the relationship between the x- and y-coordinates of points on the line. All lines through the origin are of the form $\mathit{y}=\mathit{m}\mathit{x}$, so the equation is $\mathit{y}=\frac{1}{7}\mathit{x}$.
A point lies on the line if and only if its y-coordinate is 1/7 of its x-coordinate.
Of the given choices, only choice D,(14,2),satisfies this condition:$2=\frac{1}{7}\left(14\right)$
Choice A is incorrect because the line determined by the origin $\left(0,0\right)$ and $\left(0,7\right)$ is the vertical line with equation x = 0; that is, the y-axis.
The slope of the y-axis is undefined, not $\frac{1}{7}$.Therefore,the point(0,7) does not lie on the line that passes the origin and has slope $\frac{1}{7}$.
Choices B and C are incorrect because neither of the ordered pairs has a y - coordinate that is $\frac{1}{7}$ the value of the x - coordinate