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Tcecarenko [31]
3 years ago
14

A line with a slope of -3 and an x-intercept of 15 passes through which following points?

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Let's first write down all the information given in <em>y = mx + b</em> form. Notice that x-intercept means that <em>y = 0</em> at that point. <em>b</em> is not given, so:

0 = -3(15) + b

Let's solve for b:

0 = -45+b

b = 45

Now we have the equation:

y = -3x + 45

We can plug in every option given to see which choice makes it true:

<u>(0, 30)</u>

30 = -3(0) + 45

30 \neq 45

<u>(5, 15)</u>

15 = -3(5) + 4515 = -15+45

15\neq 30

<u>(10, 10)</u>

10 = -3(10) + 45

10 \neq 15

<u>(-5, 60)</u>

60 = -3(-5) + 45

60 = 60

Therefore, choice D or <u><em>(-5, 60)</em></u> is your answer. Hope I could help! :)


<em>*There is probably an easier way to solve this, I just didn't see it when I attacked the problem! :) </em>

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