Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
Let's consider what type of equation's these are:
[tex]\hookrightarrow \text{They are linear equation in slope-intercept form}[/tex]
[tex]\hookrightarrow \text{Look at image attached below from an online reference}[/tex]
Let's write them out and make sure they are in slope-intercept form:
[tex]\rightarrow y = 3mx - 10\\\rightarrow y = -4x + 7[/tex]
If two lines are parallel there slopes must be equal:
[tex]\hookrightarrow \text{Therefore '3m' must be equal to -4}[/tex]
[tex]3m = -4\\m = -\frac{4}{3}[/tex]
Answer: -4/3
Hope that helps!
#LearnwithBrainly
