Write an equation of the line through 14 having slope 45 Giv

Write an equation of the line through

(1,4)

having slope 4/5.

Give the answer in standard form.

Solution

Equation of a straight line is given by:

(y - y1) = m*(x - x1)

m = slope = 4/5

P = (x1, y1) = (-1, -4)

Using these values:

(y - (-4)) = (4/5)*(x - (-1))

5*(y + 4) = 4*(x + 1)

5y + 20 = 4x + 4

4x - 5y - 16 = 0