What is an equation of the line that passes through the points (4,-2) and (8,-7)?

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:

=  

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 smiley

Step-by-step explanation:

0 is its x and y coordinate