Jesse D. answered • 11/15/19
Patient and Experienced Mathematics and Spanish Tutor
Parallel lines have the same slope. Our first equation is in slope intercept form. We can tell what the slope is by looking at the number attached to the x. Doing so tells us that the slope of the first line is 3. So the slope of our second equation also needs to be 3 in order for them to be parallel. I'm going to put the second equation into slope intercept form by solving for y:
y - kx = 15
+kx +kx
y = kx + 15
So, k needs to equal 3 for this equation to have a slope of 3 as well. I hope this explanation helped to answer all of your questions! If you have any additional questions please don't hesitate to reach out! :)
