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

The y-intercept is 1

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✨❤️