Question

The points (-5, -14) and (4, r) lie in a line with slope 4. Find the missing coordinate r.

Answer 1

Answer:r=22

Explanation:

So first what you have to do is use slope the formula, which is (y2-y1)/(x2-x1). We can substitute the given values so it will be (-14-r)/(-5-4)= 4. So now we can solve -5-4= -9. -14-r/-9=4. Multiply each side by -9 so the new equation will be -14-r=-36. Add 14 to each side so -r=-22 now divide by -1 so r=22

Answer 2

Answer: r = 22

Explanation:

To answer this question, we can create a point-slope form equation.

y - y1 = m(x - x1)

y - r = 4(x - 4)

y - r = 4x - 16

y = 4x - 16 + r

Then, we will substitute the given point to solve for r.

y = 4x - 16 + r

(-14) = 4(-5) - 16 + r

(-14) = -20 - 16 + r

-14 = -36 + r

22 = r