Write the slope intercept form of the equation of the line described

Question

Through:(5,-5), parallel to y=-8/5x

Answer 1

y= -8/5x through the point (5,-5)

Parallel lines have the same slope. So the slope of the second line will also be -8/5.

Note that the variable m represents slope of the line.

y= mx+b

y= -8/5x +b the x coordinate is 5

y= -8/5(5) +b the y coordinate is -5

-5= -8 +b

+8=+8 +b

_________

3=b

so the equation of the new line is y=-8/5x+3