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Nadya [2.5K]
2 years ago
5

What is the y-intercept of the line?

Mathematics
1 answer:
8090 [49]2 years ago
6 0

Answer:

34

Step-by-step explanation:

We start by working out the slope. The slope is change in y over change in x, so (66-58)/(-56)-(-42) is the slope here. 66-58 is 8, and -56-(-42) is -14. -8/14=-4/7. The equation of a line in slope-intercept form is y=mx+b where b is the y intercept and m is the slope. Since the slope is -4/7, then y=-4/7x+b. We then insert any x and y pair into this equation and solve for b, the y intercept to get it. (We can do ANY pair) So, 50=(-4/7)(-28)+b.

: 50=16+b

: 50-16=b

: 34=b

So, in conclusion, the y intercept is 34. Hope this helps!

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