Question

Find the slope and the Y-intercept of the equation 4x+5y=-9

Answer 1

4x + 5y = 9
5y = -4x + 9
y = -4/5x + 9/5......slope intercept form (y = mx + b)

In y = mx + b form, which is what this equation is in now, the slope is in the m position and the y int is in the b position

y = mx + b
y = -4/5x + 9/5
so ur slope(m) = -4/5 and ur y int (b) = 9/5

Answer 2

-4/5 and -9/5

Explanation:

To find the slope of the graph we need to simply the given equation. We can do that by taking the x term to the left of the equation:

`4\cdot{x}+5\cdot{y}=-9`

`5\cdot{y}=-9-4\cdot{x}`

We can divide the whole expression by 5 to obtain the complete form of a straight line which is y=mx+c. Where m is the slope and c the y-intercept.

`y=-9/5-(4/5)\cdot{x}`

The slope is -4/5 and the y-intercept is -9/5