Question

What is an equation of the line that passes through the points (8, 2) and
(7, 1)?

Answer 1

y = x - 6

Explanation:

the slope-intercept form for any line is y = mx + b, where m is the slope and b is the y-intercept.

now, let's calculate the slope:

1-2/7-8= -1/-1 = 1

here is the equation we currently have solved: y = x + b

now we have to solve for the y-intercept. to do this, we substitute one of the given points into the equation, and solve for b.

let's use (8, 2). in this ordered pair, the 8 is the x, and the 2 is the y.

2= 8 +b

2 -8=b

b=-6

and now we have our final equation!

y = x - 6

hope this helped! please let me know if you are confused about anything i did