Question

What is the slope of the line 5x + 1y = 6?

Answer 1

(1,1) ?

Answer 2

Solve the equation for y:
y=-5x+6
This function follows the form y=mx+b (ie the equation for a line, where m is the slope and b is the y-intercept)

Can you find the slope now?

Answer 3

1 !

Answer 4

no...

Answer 5

fantastic haha

Answer 6

The slope of a line will always be the coefficient of x. What is the coefficient of x in the equation:
y=-5x+6

If you can identify the coefficient of x in that equation you can identify the slope of the line

Answer 7

-5......

Answer 8

That is correct. If you are having trouble with the concept, use the idea that the slope is (y2-y1)/(x2-x1), colloquially known as "rise over run." Write out a table of values for the function and plot them on a graph, ie:
for x=1, y=-5(1)+6=1
for x=2, y=-5(2)+6=-4
for x=4, y=-5(4)+6=-14

Take any two points from your graph and plug them into the formula "rise over run"
I will take x=1 and x=4

(y2-y1)/(x2-x1)=(-14-1)/(4-1)=(-15)/3=-5

So the slope is -5

Answer 9

another way :
ax+by=c, the slope is m = -a/b
so, if given 5x + 1y = 6 then m = -5/1 = -5