# Checking Intersection point from two student input equations

**URL:** <https://cl.desmos.com/t/checking-intersection-point-from-two-student-input-equations/5397>\
**Category:** Questions\
**Tags:** challenge-creator\
**Created:** [March 4, 2024, 8:16pm UTC](https://cl.desmos.com/t/checking-intersection-point-from-two-student-input-equations/5397 "2024-03-04T20:16:02Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![Travis\_Balch](https://yyz1.discourse-cdn.com/flex031/user_avatar/cl.desmos.com/travis_balch/32/1160_2.png) [@Travis\_Balch](https://cl.desmos.com/u/Travis_Balch)\
**Post date:** [March 4, 2024, 8:16pm UTC](https://cl.desmos.com/t/checking-intersection-point-from-two-student-input-equations/5397/1 "2024-03-04T20:16:02Z")

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I am trying to build a challenge creator where students would create two linear slope-intercept form equations and then the students determine the coordinate point where lines intersect to solve the challenge. Here is what I have so far

> **[Challenge Creator - Linear systems • Activity by Travis (he/him) Balch](https://classroom.amplify.com/activity/65e62a8f33a56027b1434a0e)**
>
> by Travis (he/him) Balch

I can’t figure out how to get Desmos to determine the point of intersection from the student input equations and then check that against the student answer on the submission slide. Thank you for your help!

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**Author:** ![pirsquared](https://avatars.discourse-cdn.com/v4/letter/p/4af34b/32.png) [@pirsquared](https://cl.desmos.com/u/pirsquared)\
**Post date:** [March 4, 2024, 10:07pm UTC](https://cl.desmos.com/t/checking-intersection-point-from-two-student-input-equations/5397/2 "2024-03-04T22:07:51Z")

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You can utilise the regression tool to help you find the point of intersection. For instance, `f(x_1)~g(x_1)` will find a value `x_1` that represents the x-ordinate of the point of intersection. Then `y_1=f(x_1)` will find the y.

Example: [[Copy of] Challenge Creator - Linear systems • Activity Builder by Desmos](https://teacher.desmos.com/activitybuilder/custom/65e644dbc9952ad1fd8584ea)

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<div class="post-metadata">

**Author:** ![Travis\_Balch](https://yyz1.discourse-cdn.com/flex031/user_avatar/cl.desmos.com/travis_balch/32/1160_2.png) [@Travis\_Balch](https://cl.desmos.com/u/Travis_Balch)\
**Post date:** [March 5, 2024, 1:41am UTC](https://cl.desmos.com/t/checking-intersection-point-from-two-student-input-equations/5397/3 "2024-03-05T01:41:39Z")

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Thank you so much for your help, here is the final product that I came up with

> **[Challenge Creator - Linear systems • Activity Builder by Desmos](https://teacher.desmos.com/activitybuilder/custom/65e62a8f33a56027b1434a0e)**
>
> by Travis (he/him) Balch