Question

Write an equation of the line that passes through the point (4, –5) with slope 2.

Answer 1

Answer:

  D. y+5=2(x−4)

Step-by-step explanation:

The point-slope form of the equation of a line is useful for writing an equation for a line through a given point with a given slope.

Point-slope form

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . line through point (h, k) with slope m

Application

We want a line through point (h, k) = (4, -5) with slope m = 2. Putting these numbers into the form gives ...

  y -(-5) = 2(x -4)

  y +5 = 2(x -4) . . . . . . simplifying the signs