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3 years ago

Which is an equation of the line that passes through the point (1, 4) and has a slope of 3?

Mathematics

2 answers:

fenix001 [56]3 years ago

6 0

Y - 4 = 3(x -1)

y = 3x - 3 + 4

y = 3x +1 is the answer

Varvara68 [4.7K]3 years ago

5 0

So an equation of any line is y=mx+b.
We know that the m, or slope, equals 3.
y=3x+b
Now we find the b, or the y-intercept, by substituting the x and y values into their places.
4=3*1+b
4=3+b
b=1
Now that we have the y-intercept, we just substitute the m and b into the equation and receive our final answer:
y=3x+1

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This is a problem of fact families, but what is fact families? Well it is a family of four things. Two of them are additions and two of them are subtractions. So this question asks about fact families by writing the subtraction fact two ways. So we have:

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First way. So let's take the number 10 and explain this problem using triangles. Let's say that we have 10 triangles in the beginning:

Δ Δ Δ Δ Δ
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Second way. In this subtraction we take the same 10 triangles:

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