Find the equation of a line parallel to the line y=-9x+2 that passes through the point (5,5). give the answer in slope form

y = - 9x + 50

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 9x + 2 is in this form with slope m = - 9

Parallel lines have equal slopes

y = - 9x + c is the partial equation of the parallel line

To find c substitute (5, 5 ) into the partial equation

5 = - 45 + c ⇒ c = 5 + 45 = 50

y = - 9x + 50 ← equation of parallel line

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.