b The slope of a segment is the vertical distance divided by the horizontal distance between the segment's endpoints.
Slope: Rise/Run=Δ y/Δ x
Let's identify these distances in our diagram and calculate the slope.
c The area of a triangle is the product of its height and base divided by 2. Since a slope triangle is a right triangle, we know that its legs will represent the triangle's height and base. With this information we can calculate the triangle's area.
y = mx + b
In the equation above m is the slope of the line connecting the two points and b is the y-intercept. In Part B we found that the slope of the line segment connecting the two points equals 32, so we can substitute 32 for m in the formula above.
y = 3/2x + b
To write a complete equation for this line, we also need to determine the y-intercept b. We can do that by substituting one of the given points into the equation and solving for b. Let's choose (3, -4) to do so.
