An equation with one unknown to the first power is a linear equation. Use a Desmos regression, which fits the unknown so both sides match, then evaluate the expression the question asks for. The value of the letter may be only an intermediate result. Stopping there gives the wrong answer when the question asks for something built from that letter.
Hints
- Hint 1
A regression fits an unknown so both sides of an equation match. Change to when you type the equation in Desmos. What value does it report for under PARAMETERS?
- Hint 2
The question asks for an expression involving , not by itself. Substitute means replace a letter with its value. How would you use the value you found to evaluate ?
Step-by-step
Solve, then evaluate
Step 1Find the value of m
Type in Desmos. The tells Desmos to fit so the two sides are equal. Under PARAMETERS, it shows . That's the value of the unknown, not yet the value of .
- Step 2
Evaluate the requested expression
Type on the next Desmos line. Desmos uses from above and prints , so the value of is . Grid in 2.