Finding a Point of Intersection Algebraically

Find the point of intersection of the lines $h (t) = 3 t - 4$ and $j (t) = 5 - t .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Look at the graph in Figure 22 and identify the following for the function $j (t) :$

ⓐ y-intercept
ⓑ x-intercept(s)
ⓒ slope
ⓓ Is $j (t)$ parallel or perpendicular to $h (t)$ (or neither)?
ⓔ Is $j (t)$ an increasing or decreasing function (or neither)?
ⓕ Write a transformation description for $j (t)$ from the identity toolkit function $f (x) = x .$

How did it go?

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Look at the graph in Figure 22 and identify the following for the function $j (t) :$

ⓐ y-intercept
ⓑ x-intercept(s)
ⓒ slope
ⓓ Is $j (t)$ parallel or perpendicular to $h (t)$ (or neither)?
ⓔ Is $j (t)$ an increasing or decreasing function (or neither)?
ⓕ Write a transformation description for $j (t)$ from the identity toolkit function $f (x) = x .$