If the coordinates of point a are (8 , 0) and the coordinates of point b are (3 , 7), the y-intercept of is

As a fraction:

As a decimal:

As an ordered pair: or

Step-by-step explanation:

First we are using the slope formula to find the equation of our line:

Where

is the slope of the line

are the coordinates of the first point

are the coordinates of the second point

our first point is (8, 0) and our second point is (3, 7), so , , , and .

Replacing values:

Now, to complete the equation of our line (and find its y-intercept), we are using the point slope formula:

Where

is the slope

are the coordinates of the first point

Replacing values:

Now, in a line of the form , is the way intercept. We can infer form our line that , so the y-intercept of the line joining the points (8, 0) and (3, 7) is .