Question

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

Answer 1

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,

$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,

$y=-\frac{4x}{5}-\frac{4}{5}$

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

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