Find the equation of a line containing the intersection of the lines with equations y= -3x + 4 and 5x -3y + 40 =0 which: a. has a gradient of 6/7 b. passes through the point (-1, 9) c. is parallel with the line joining (-8, 5) and (0, 4)

Question

Find the equation of a line containing the intersection of the lines with equations y= -3x + 4 and 5x -3y + 40 =0 which: a. has a gradient of 6/7  b. passes through the point (-1, 9) c. is parallel with the line joining (-8, 5) and (0, 4)

amistre64 · Answer

well, it either exists or it does not exist ...

amistre64 · Answer

define the line that has a slope (gradient) of 6/7 and pass thru the point -1,9 using the point slope format of a line.

then determine the intersection point of the other 2 lines and see if it fits in the equation

amistre64 · Answer

is abc conditions for a single solution?  or are they different scenarios?

amistre64 · Answer

if different scenarios, then they are pretty much asking you to define a line using 3 different methods to test your comprehension of the material