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2 years ago

Find an equation of the line that goes through the points (7,-42) and (10,-57). Write your answer in the form

Mathematics

2 answers:

aksik [14]2 years ago

4 0

Answer:

y = -5x - 7

Step-by-step explanation:

What's the slope of this line? Going from (7,-42) to (10,-57), we see x increasing by 3 and y decreasing by 15. Thus, the slope is m = rise / run = -15/3, or m = -5.

Now subst. -42 for y in y = mx + b, -5 for m and 7 for x:

-42 = -5(7) + b. Thus, b = -42 + 35, or b = -7. and the equation of this line is thus y = -5x - 7.

Check: if x = 10, does this equation yield y = -57? Yes

tatuchka [14]2 years ago

3 0

Y=-5x-7. I'm almost certain but you never know

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