Question

Find the equation of a line hose y-intercept and slope have the same numerical value and pass through (4,-5)

Answer 1

*whose

Answer 2

first, lets start with a graph:

Answer 3

now that we have a graph, lets simplify the problem. what we have to do is find the point on which certain coordinates intersect, then plot the course. sounds complicated, maybe.

Answer 4

The general equation for a line is:
y = mx + b
where m is the slope and b is the y-intercept.
In this case we can write:
y = mx + m ............(1)
Plugging the given values of the coordinates of the point into (1) we get:
-5 = 4m + m ..........(2)
If you solve equation (2) to find the value of m, that value can be plugged into equation (1) to give the equation of the line.

Answer 5

x+y+1 =0?

Answer 6

@AaronAndyson What is your value for m?

Answer 7

-1

Answer 8

Correct. So plug that value into equation (2).

Answer 9

y = -x - 1 is the required equation.