Question

How would you solve this problem? (Worth 10 points, pls help!)

Answer 1

Answer:

(22,0)

Step-by-step explanation:

1. Select any two points given and find their slope (rise/run)

       (-38, 40) and (-23, 30)

      slope =   $\frac{40-30}{-38-(-23)}$ = - 2/3

2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.

    y = mx + b ⇒ 40 = -2/3 (-38) + b

3. Solve for b

   40 = -2/3 (-38) + b

   40 = 76/3 + b

   40 - 76/3 = b

   b = 44/3

4. To find the x-intercept, set y = 0, and solve.

   y = -2/3 x + 44/3

   0 = -2/3 x + 44/3

   2/3 x = 44/3

   x = 22

Hope this helped!