Question

Graph the equation 4x + 5y = -4 by plotting points.

Answer 1

To graph the equation 4x + 5y = -4 by plotting points.

First, To find the points on the line.

Substitute different values of x, to find corresponding values of y.

Let x=-1,

Substitute in the equation we get,

`4(-1)+5y=-4`
`5y=-4+4`
`y=0`

One of the point on the line is (-1,0)

Let x=-6,

Substitute in the equation we get,

`4(-6)+5y=-4`
`-24+5y=-4`
`5y=20`
`y=4`

(-6,4) is the point on the line.

Let x=4,

Substitute in the equation we get,

`4(4)+5y=-4`
`16+5y=-4`
`5y=-20`
`y=-4`

(4,-4) is the point on the given line.

Rewrite the equation into slope intercept form y=mx+c, we get,

`y=-(4x)/(5)-(4)/(5)`

we get the slope of the line is -4/5 and y intercept is -4/5

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