Answer:
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,
[tex]4(-1)+5y=-4[/tex][tex]5y=-4+4[/tex][tex]y=0[/tex]One of the point on the line is (-1,0)
Let x=-6,
Substitute in the equation we get,
[tex]4(-6)+5y=-4[/tex][tex]-24+5y=-4[/tex][tex]5y=20[/tex][tex]y=4[/tex](-6,4) is the point on the line.
Let x=4,
Substitute in the equation we get,
[tex]4(4)+5y=-4[/tex][tex]16+5y=-4[/tex][tex]5y=-20[/tex][tex]y=-4[/tex](4,-4) is the point on the given line.
Rewrite the equation into slope intercept form y=mx+c, we get,
[tex]y=-\frac{4x}{5}-\frac{4}{5}[/tex]we get the slope of the line is -4/5 and y intercept is -4/5
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