Question
Brenda says that the ordered pair ( 9,36) it’s on the line for the equation, even though it was not graphed. Is she correct? Explain.
Answers
GPT 3.5
To determine if the ordered pair (9, 36) lies on the line for a given equation, we can substitute the x and y values into the equation and see if it satisfies the equation.
If the equation of the line is in the form y = mx + b, where m is the slope and b is the y-intercept, we can substitute x = 9 and y = 36 into the equation:
36 = 9m + b
Since we only have one equation with two variables, we cannot determine whether the ordered pair lies on the line without additional information about the equation or the values of m and b.
Therefore, without knowing the specific equation for the line, we cannot definitively say whether Brenda is correct in stating that the ordered pair (9, 36) lies on the line.
If the equation of the line is in the form y = mx + b, where m is the slope and b is the y-intercept, we can substitute x = 9 and y = 36 into the equation:
36 = 9m + b
Since we only have one equation with two variables, we cannot determine whether the ordered pair lies on the line without additional information about the equation or the values of m and b.
Therefore, without knowing the specific equation for the line, we cannot definitively say whether Brenda is correct in stating that the ordered pair (9, 36) lies on the line.