Write an equation for a line that is parallel to 2x+5y=15 and passes through the point (-10, 1)

Answer 1

Greetings! Lets solve this shall we ?

So, we must find the equation of a line that is parallel to the given line 2x+5y=15 such that

2x+5y=15

5y = -2x+15

y = (-2/5)x+3

We then use the point and slope from the given line to find a line parallel such that

y - y1 = m(x - x1)

y - 1 = (-2/5)(x - (-10))

y - 1 = (-2/5)(x + 10)

y - 1 = (-2/5)x - (20/5)

y - 1 = (-2/5)x - 4................Then add 1 to both sides such that

y = (-2/5)x - 3

I hope this helped!