is the point (-15, 18) on the line 5y-45=-3x? Justify your answer.
Does
5(18)-45=-3(-15)
Substitute the value for one unknown to see if it solves for the desired value for the other unknown.
I hope this helps. Thanks for asking.
To determine if the point (-15, 18) lies on the line 5y - 45 = -3x, we can substitute the x and y coordinates of the point into the equation and check if both sides of the equation are equal.
Let's substitute the x-coordinate, -15, for x, and the y-coordinate, 18, for y.
Replacing x with -15, the equation becomes:
5y - 45 = -3(-15)
Simplifying the equation:
5y - 45 = 45
Now, let's solve for y:
5y = 45 + 45
5y = 90
y = 90/5
y = 18
We found that y is indeed equal to 18, which matches the y-coordinate of the given point. Therefore, both sides of the equation are equal.
Since the equation holds true when we substitute the x and y coordinates of the given point, (-15, 18), we can conclude that the point lies on the line 5y - 45 = -3x.