Question

Graph the line of the equation x4+y=−2 using its slope and y-intercept

Answer 1

Answer:

y-intercept = c = -2

slope = y = - 4

Step-by-step explanation:

The correct equation is:

4x + y =  -2

We need to graph the line using its slope and y-intercept. The slope intercept form of the equation is:

y = mx + c

Here, m is the slope and c is the y-intercept. Transforming the given equation to this form gives us:

y = - 4x - 2

This means, the slope is:

m = - 4

and y-intercept is:

c = - 2

y-intercept in ordered pair is written as (0, c). So for the given case the y intercept will be (0, -2). This gives us first point on the graph.

The slope tells us that by how many units will the y variable will change for one unit change in x-axis.

So slope, m = - 4, tells us that the y-variable will change by negative 4 units for 1 unit change in x variable.

Based on this change, we can get another point from (0, -2) which will be (0+1, -2 - 4) = (1, - 6)

This gives us the second point on the graph. Plot these two points and join them using a straight line. This straight line will be the graph of equation y = 4x - 2 or 4x + y = -2

The graph is attached below.