Question

write an equation of the line parallel to the given line that contains cc(6 ,-2)y=(-3/2)x+6

Answer 1

for fine and equation line parallel you need to know the equation line

$(y-y_1)=m(x-x_1)$

we can say the line is parallel when the equations of the lines have the same slope so the slope of the equation shown in the question is m=(-3/2) so the equation that we will obtain most have a slope equal to (-3/2)

Using the equation line and the point c we can obtain

(y-(-2))=(-3/2)(x-6)

y+4=(-3/2)x+9

y=(-3/2)x+9-4

Finally, the equation line parallel to y=(-3/2)x+6​ is

y=(-3/2)x+5