how would i begin this problem...
graph the equation and identify the y-intercept.
y+x=-5
I would first rewrite that into:
y=x-5
then where do I go from there, how do I know what value to put for x??
I would first rewrite that into:
y=x-5
Good start!
For a linear function, you need two points to draw the line, a third point to check.
For the line
y=mx+b, put x=0, that gives you y=b at the y-axis, i.e. (0,b) is your y-intercept.
Next, you put y=0 to get the x-intercept.
You will need to solve for x=-b/m.
With two points, you can graph the line.
Alternatively, you can make a table of values of x and y for at least two to three points.
In your example, m=1, and b=-5.
You'll have at least the two intercepts. You can make more points by putting x=1, x=2, ... until you have enough of them. lol.
Sign dropped?
Doesn't y+x=-5 rewrite as y=-x-5?
Thanks jim, indeed. I missed that.
So
y+x=-5
rewrites as
y=-x-5
The y-intercept is still -5, but the slope m is now -1.
thanks
To graph the equation y + x = -5 and find the y-intercept, you can follow these steps:
Step 1: Rewrite the equation in slope-intercept form, which is y = mx + b. This form makes it easier to identify the y-intercept. In this case, start with the original equation y + x = -5 and rearrange it by subtracting x from both sides:
y = -x - 5
Step 2: Now that you have the equation in slope-intercept form, you can identify the y-intercept, which is the value of y when x = 0. In this case, substitute x = 0 into the equation:
y = -(0) - 5
y = -5
So, the y-intercept is -5.
Step 3: To graph the equation, plot the y-intercept (-5) on the y-axis. This point represents the intersection of the line with the y-axis.
Step 4: From the y-intercept, use the slope of the line to find additional points. In this case, the slope is -1, which means that for every unit increase in x, y decreases by 1. So, starting from the y-intercept (-5), you can move one unit to the right and one unit down to find another point, and so on.
Following these steps, you can plot multiple points on the graph and connect them to form a straight line.