Question

Can someone help me understand how to do this problem?

Find an equation of the line that satisfies the given conditions.
Through (9, 1) and (8, 6)
Thank you!

Answer 1

y = -5x + 46

Explanation:

We are trying to find an equation in y=mx+b form

Okay so we know two points on the graph, from which we can get the slope (value of m) by the formula
`(y_(2) -y_(1))/(x_(2)-x_(1))`

plugging in the values:
`(6 -1)/(8-9)`

the resulting slope is -5

to find our b value we can plug in one of our coordinants into the equation and solve for b

1 = -5(9) + b

1 = -45 + b

46 = b

so our equation in y = -5x + 46