Question

The gradient of the line joining (5, k) and (4, —3) is 2. Find the value of k
and the equation of the line.

Answer 1

Answer:

k = -1

Step-by-step explanation:

Gladient = Slope = (y2 - y1)/(x2 - x1)

2 = (-3-k)/(4-5)

2 = -3-k/-1

2 = 3+k

k = -1

Verification: eq of line y -y1 = m(x -x1)

y +3 = 2x - 8

sub (5,-1). -1 +3 = 10 - 8

2 = 2