Question

HELP PLEASE:

What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?

y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7) ​
y−4=2/5(x−7)

Answer 1

y - y1 = m(x - x1)
slope(m) = 2/5
(-4,-7)....x1 = -4 and y1 = -7....pay attention to ur signs
now we sub
y - (-7) = 2/5(x - (-4)...not done yet
y + 7 = 2/5(x + 4) <===

Answer 2

Correct option is:

y+7=2/5(x+4)

Explanation:

The point-slope form of the line with slope m and passing through the point (x1,y1) is given by:

y-y1=m(x-x1)

Here, we are given line with slope m=2/5

and passing through (x1,y1)=(-4,-7)

i.e. x1= -4 and y1= -7

`y-(-7)=(2)/(5)(x-(-4))`

`y+7=(2)/(5)(x+4)`

Hence, Correct option is:

y+7=2/5(x+4)