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Marat540 [252]
3 years ago
10

A line has a slope of 3, is increasing, and passes through the point (2,7). What is its y-intercept?

Mathematics
2 answers:
uysha [10]3 years ago
8 0
The y-intercept is 1.

First, we need to put this into point slope form which is y-7=3(x-2)

Next, multiply using the distributive property. y-7=3x-6

Lastly, we want to get y by itself so add 7 on both sides. y=3x+1.

Using the slope intercept form, y=mx+b where b is the y-intercept, we can see that the line will cross the y-axis at 1.

Hope this helps✨❤️
Anna71 [15]3 years ago
3 0
The y-intercept is 1
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Step-by-step explanation:

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<em>Comment on the graph</em>

I like to find the roots of higher-degree polynomials using a graphing calculator. The red curve is the cubic. Its only rational root is r=1. By dividing the function by the known factor, we have a quadratic. The graphing calculator shows its vertex, so we know immediately what the vertex form of the quadratic factor is. The linear factors are easily found from that, as we show above. (This is the "other means" we used to find the quadratic roots.)

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