Use the​ slope-intercept form to graph the equation

4x+y=-1

1 answer

The slope-intercept form of an equation is given by y = mx + b, where m is the slope and b is the y-intercept.

To put the equation 4x + y = -1 in slope-intercept form, we need to isolate y on one side of the equation.

4x + y = -1
y = -4x - 1

Now we can see that the slope is -4 and the y-intercept is -1.

To graph the equation, we can start by plotting the y-intercept on the y-axis, which is -1. Then, using the slope of -4, we can find other points on the line.

For example, if we move one unit to the right (increase x by 1), we go down 4 units (decrease y by 4) to get to the next point on the line. So, we can plot the point (0, -1) and then move to (1, -5).

Using these two points, we can draw a straight line passing through them to graph the equation.

The graph of the equation 4x + y = -1 would look like:

[Graph not available in text format]