Final answer:
The equation in slope-intercept form of the line with the given parametric equations is y = -3x + 6.
Step-by-step explanation:
To write an equation in slope-intercept form, we need to find the slope and y-intercept. The slope is the coefficient of x and the y-intercept is the constant. In the given parametric equations, x = -3t - 7 and y = -2t + 6, we can see that the coefficient of t in the x equation is -3, which is the slope. And the constant term in the y equation is 6, which is the y-intercept. Therefore, the equation in slope-intercept form is y = -3x + 6.