I am working on a problem where I am to graph the equation and identify the y intercept
the equation is y+x=-9
On the graph, I plotted (0,-9) and
(-9,0); I identified the y intercept as (0,-9)
Is this correct?
Yes
identify the x-intercept of the line below 5x-7y=-105
To graph the equation y + x = -9 and identify the y-intercept, you can follow these steps:
1. Start by rearranging the equation to solve for y: y = -x - 9. Now the equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
2. Since the y-intercept represents the point where the graph intersects the y-axis, you can find it by setting x = 0 in the equation and solving for y. Plugging in x = 0, you get y = -(0) - 9 = -9.
3. Now you have the coordinates of the y-intercept, (0, -9).
4. To verify whether your plotted points (0, -9) and (-9, 0) align with the equation, substitute x and y into the equation and check if both equations are correct. For (0, -9), when you substitute x = 0 and y = -9 into y + x = -9, you get -9 + 0 = -9, which is correct. Similarly, for (-9, 0), substituting x = -9 and y = 0 into y + x = -9, you get 0 + (-9) = -9, which is also correct.
Therefore, your plotted points (0, -9) and (-9, 0) are correctly aligned with the equation y + x = -9, and the y-intercept is indeed (0, -9).