Question

Find k if the line passing through points P(–12, –3) and Q(4, k) has slope `1/2`.

Answer 1

Step 1: Find the coordinates of point P and Q

P(−12, −3) and Q(4, k)

Step 2: Find the slope of the line

m = `1/2`

Step 3: Use the slope formula to find the value of k

m= `(y_2 - y_1)/(x_2 - x_1) = (k - (-3))/(4 - (-12))`

Step 4: Simplify the equation

`1/2 = (k + 3)/16`

Step 5: Solve for k

2(k + 3) = 16

k + 3 = 8

k = 5