QuestionFind the equation (in terms of $x$ ) of the line through the points $(-3,5)$ and $(4,-1)$. $$y=\square$$ Question Help: Video 1 Video 2 Message instructor Submit Question

Studdy Solution
Convert the equation to slope-intercept form $y = mx + b$:
Distribute the slope on the right side:
$$y - 5 = \frac{-6}{7}x - \frac{18}{7}$$
Add 5 to both sides to solve for $y$:
$$y = \frac{-6}{7}x - \frac{18}{7} + \frac{35}{7}$$
Combine the constants:
$$y = \frac{-6}{7}x + \frac{17}{7}$$
The equation of the line is:
$$y = \frac{-6}{7}x + \frac{17}{7}$$