# Displaying Line from Standard Form

Hi,

I am new to CL and committed to learning it, but I was hoping for a quick answer to get my lesson for next week to the next level in DESMOS.

I want students to write a linear equation in standard form ax+by = c from a word problem and then I want DESMOS to graph it. I can’t seem to make this work using f(x). How do you graph when it is not in function format? For instance if a student inputs into my f(x). called moneyeq. How would I set up the graph and its script?

function(“f”):simpleFunction(moneyeq.latex). doesn’t work when students type in 2x+y = 4

Thanks

1 Like

simpleFunction takes an expression (the right side of a linear function). I think the function sink always does in terms of x, so having y would confuse it.

Since they’re writing it from a word problem, there should be a correct answer I assume. In which case, you could check that their answer is correct.

#parseEquation().lhs gets the expression for the left hand side of the equation, and simpleFunction(___, “x”,“y”) specifies a function with variables x and y. So I’m making a function from the left side of student input, then evaluating at two solutions of 2x+y=4 and seeing if the left side does in fact equal 4. If correct, check = 1. If not, check =0.

eqLHS=simpleFunction(parseEquation(moneyeq.latex).lhs,“x”,“y”)
check=when eqLHS.evaluateAt(0,4)=4 and eqLHS.evaluateAt(-2,0)=4 1
otherwise 0

In the graph CL: number(“k”): componentName.script.exp1
In the graph: 2x+y=4 {k=1} #this will graph only if k=1

As an alternative, you can use `xyLine` to parse the input. Then, you can build a simple function from the slope and intercept, and pass that down to the graph for plotting. `xyLine` is defined for any linear form, and will be undefined if students include a non-linear term.

Graph Expression List:
`y=f(x)`

Graph CL:
`l = xyLine(moneyeq.latex)`
`function("f"): simpleFunction("\${l.slope}*x+\${l.yIntercept}")`

Input CL:
`errorMessage: when isDefined(xyLine(this.latex)) "" otherwise "Enter a linear equation"`

Again, that will plot the line regardless of form. If you need students to be practicing standard form specifically, I’d recommend setting up a table and asking them to give values for `a` and `b` separately.

I always forget about xyLine and haven’t gotten enough experience using it. Seems a little more elegant.