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.
