Question

what is the equation of the line in slope form with slope 2/5ths and passes through the point (-4,-7)

Answer 1

2x - 5y= 27.

Explanation:

Using the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Here m = 2/5 and (x1, y1) = (-4, -7):

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

y + 7 = 2/5x + 8/5

y = 2/5x + 8/5 - 7 Multiply through by 5:

5y = 2x + 8 - 35

5y = 2x - 27

2x - 5y = 27.