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2 years ago

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

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

5 0

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!

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