Final answer:
To find a parametric description for the line that passes through the point (-1,3) and has a slope of 2, we can use the point-slope form of a linear equation.
Step-by-step explanation:
To find a parametric description for the line that passes through the point $(-1,3)$ and has a slope of $2$, we can use the point-slope form of a linear equation. The point-slope form is given by $y - y_1 = m(x - x_1)$, where $(x_1, y_1)$ is a point on the line and $m$ is the slope.
Substituting the given values into the equation, we get $y - 3 = 2(x + 1)$. Simplifying this equation, we have $y = 2x + 5$.
Therefore, a parametric description for the line is $x = t$, $y = 2t + 5$, where $t$ is a parameter.