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.
<h3>Point-slope form</h3>
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line through point (h, k) with slope m
<h3>Application</h3>
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
