Find $$ y $$ if the line through $$ (1, y) $$ and $$ (2,5) $$ has a slope of 4 . $$ y=\square $$

Question

UpStudy AI · Accepted Answer

1. The slope formula for two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is given by
   $$
   m = \frac{y_2 - y_1}{x_2 - x_1}.
   $$

2. For the points $$(1, y)$$ and $$(2, 5)$$, the slope $$ m $$ is
   $$
   m = \frac{5 - y}{2 - 1} = 5 - y.
   $$

3. Since the slope is given as $$ 4 $$, we set up the equation:
   $$
   5 - y = 4.
   $$

4. Solving the equation for $$ y $$:
   $$
   y = 5 - 4 = 1.
   $$

Thus, the solution is
$$
y = 1.
$$
$$ y = 1 $$

Find \( y \) if the line through \( (1, y) \) and \( (2,5) \) has a slope of 4 . \( y=\square \)