Thank you for the opportunity to help you with your question!
3x+8y=5, a line that can be written in the form of y=mx+c as y=(-3/8)x+5/8
because they are parallel then the gradient or slope are the same. Now, take another point (x,y) that the unknown line passes through. From the details it also passes through (5,7) and we've found the gradient to be -3/8.
formula for gradient= (y1-y2)/(x1-x2)=gradient
the two points (x,y) and (5,7) will help find the equation of the line;
cross multiply to get;
8y+3x=71 is the equation of the unknown line.
Please take a moment to rate me. Thank you.
Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 7th, 2015
Did you know? You can earn $20 for every friend you invite to Studypool!