Question

How do you find the slope and intercept of `y= -5x-4`?

Answer 1

`"slope "=-5," y-intercept "=-4`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`y=-5x-4" is in this form"`

`"with slope "=-5" and y-intercept "=-4`

Answer 2

Slope = -5/1
Y-intercept = -4

Explanation:

The y-intercept is -4 because it is not in front of an x in the problem. It stands alone at the end and tells you to start at (0,-4).

The slope of the equation is in from of the x in the equation, therefore the slope is -5/1.

Another way to think of this is left 1 then up 5.

As you can see on the graph I added, the line crosses the Y axis at -4, then the line follows negatively by moving to the left 1 (because its negative) then up 5.

graph{y= -5x -4 [-10, 10, -5, 5]}