Question

What is the y-intercept ??? Please show step by step!!

Answer 1

y-intercept is (0,1)

Explanation:

When we are looking at the chart we’re looking for a point where the x is 0 and the y is 1 which is the definition of y-intercept, where the line intersects only with the y-axis

We can see this in the chart but if that point is not on there, we have another way to find it.

This is the formula, point-slope form.

(Math people are not that creative, you use it when you have the slop and a point)

First, we need to find the slope

We do this by taking two points and using the formula y2-y1 over (/) x2-x1

So our formula is y2-y1/x2-x1.

If you pick two random points, (We will use 0,1 and 1,3) and subtract them from each other, you have the slope

3 is y2 because it’s a y point and its the second point and 1 is our other point because its a y point and its the first y point

So our equation now is 3-1/x2-x1

Now we have to sub in for the x’s

Do the same thing and our equation now is…

3-1/1-0

This gets us to 2/1 which is obviously 2.

Now we have our slope so we just have to fill in for the point.

Point slope form uses the model y-y1=m(x-x1)

So we use our same two points and get

Y-1=2(x-0)

Solve this out to Slope intercept form which will give us our y-intercept.

This gets us to y=2x+1 so our y-intercept is clearly still 1!

Answer 2

(0, 1)

Explanation:

The y-intercept is where a graph intersects with the y-axis. The x-coordinate would be 0, and the y-coordinate would be any real number.

Given the information above, the y-intercept is (0, 1) or 1 because its x-coordinate is 0 and y-coordinate is a real number.