I am trying to figure how to solve this but I am totally confused? Can someone help explain this to me?
y + x = -6
I know the formula to use is y=mx+b but just not to sure how to work the problem out so I can graph this? Have any suggestions for me? Would love to here them.
Thanks,
First, solve the y=x=-6 formula into the slope intercept formula: y = -x-6. Now, the point on the graph will be (0,-6) and the slope will be -1.
**First, solve the y + x= -6 (my typing mistake)
Sure, I'd be happy to help explain how to solve this equation and graph it!
First, let's rearrange the equation to solve for y in terms of x. We have y + x = -6. To isolate y, we need to get rid of the x term. We can do this by subtracting x from both sides of the equation:
y = -6 - x
Now that we have expressed y in terms of x, we can graph this equation. The equation y = -6 - x is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope (m) is -1 because the coefficient of x is -1.
To graph this equation, start by plotting the y-intercept, which is the point where the line intersects the y-axis. The y-intercept is -6, so plot the point (0, -6).
Next, use the slope to find another point on the line. The slope tells you how much y changes for every unit increase in x. In this case, for every 1 unit increase in x, y decreases by 1 unit because the slope is -1.
Starting from the y-intercept (0, -6), move 1 unit to the right along the x-axis (x increases by 1), and then move 1 unit down along the y-axis (y decreases by 1). This gives you the point (1, -7).
Now you can connect the two points with a straight line. This line represents all the possible (x, y) values that satisfy the equation.