COP$3502$C Python

Module $02$ Lab

Activity C

You are given two lines in slope$-$intercept form $)=(mx+b$ and must find their intersection point. For example, if Line $1$ is $y=x$ and Line $2$ is $y=3,$ then the intersect point is $(3,3).$ Develop a program to find the intersection of any two lines $($you can assume there will always be an intersection!$).$

Program Inputs ${?}_{(})$

Enter $m$ for Line $1$:

Enter b for Line $1$:

Enter $m$ for Line $2$:

Enter b for Line $2$: $-$ You can safely assume the user will always enter real numbers for all questions.

Program Outputs

The intersection point is $($XXX$,$YYY$)$

Replace $xxx$ with correct $x$ coordinate and $YYY$ with the $y$ coordinate with at most $2$ decimal places

Sample Output

Test Case $1$:

Enter $m$ for Line $1$: $1$

Enter b for Line $1$: $0$

Enter $m$ for Line $2$: $0$

Enter $b$ for Line $2$: $3$

The intersection point is $(3\mathrm{.}0,3\mathrm{.}0)$

Test Case $2$:

Enter $m$ for Line $1$: $0\mathrm{.}5$

Enter b for Line $1$: $1$

Enter $m$ for Line $2$: $-2$

Enter b for Line $2$: $20$

The intersection point is $(7\mathrm{.}6,4\mathrm{.}8)$

COP$3502$C Python

Module $02$Lab

Test Case $3$:

Enter $m$ for Line $1$: $3$

Enter $b$ for Line $1$: $-5$

Enter $m$ for Line $2$: $0\mathrm{.}01$

Enter $b$ for Line $2$: $2$

The intersection point is $(2\mathrm{.}34,2\mathrm{.}02)$

Test Case $4$:

Enter $m$ for Line $1$: $20$

Enter b for Line $1$: $0$

Enter $m$ for Line $2$: $-5\mathrm{.}5$

Enter b for Line $2$: $50$

The intersection point is $(1\mathrm{.}96,39\mathrm{.}22)$