Which is an equation in n point-slope form of the line that passes through the points (7,5) and (-4,-1)

Question

Which is an equation in n point-slope form of the line that passes through the points (7,5) and (-4,-1)

Answer 1

Greetings! Lets solve this shall we ?

So, first we must find the slope of the graph such that

m = (y2-y1) / (x2 - x1) = (-1 - 5) / (-4 - 7) = -6 / -11 = 6 / 11

Then we must use the point-slope formula such that

y - y1 = m(x - x1)................Let (x1, y1) = (7,5) and the slope m = 6/11 such that

y - 5 = (6/11)(x - 7)...............Distribute the (6/11) such that

y - 5 = (6/11)x - (42/11).............Then add 5 to both sides such that

y = (6/11)x - (42/11) + 5................(-42/11) + 5 = (-42/11) + (55/11) = 13/11. Then,

y = (6/11)x + (13/11)

I hope this helped!