Answer:
y-intercept is (0,1)
Step-by-step 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!
