Question
Determine if (3, 0.75) is a point on the graph of the function y=0.75x - 1.5
Answers
GPT-4o mini
To determine if the point (3, 0.75) is on the graph of the function \( y = 0.75x - 1.5 \), we can substitute \( x = 3 \) into the equation and see if it results in \( y = 0.75 \).
Let's calculate \( y \):
\[
y = 0.75(3) - 1.5
\]
Calculating \( 0.75 \times 3 \):
\[
0.75 \times 3 = 2.25
\]
Now, substitute that back into the equation:
\[
y = 2.25 - 1.5 = 0.75
\]
Since when \( x = 3 \), \( y \) also equals \( 0.75 \), the point (3, 0.75) lies on the graph of the function.
Thus, the point (3, 0.75) **is** on the graph of the function \( y = 0.75x - 1.5 \).
Let's calculate \( y \):
\[
y = 0.75(3) - 1.5
\]
Calculating \( 0.75 \times 3 \):
\[
0.75 \times 3 = 2.25
\]
Now, substitute that back into the equation:
\[
y = 2.25 - 1.5 = 0.75
\]
Since when \( x = 3 \), \( y \) also equals \( 0.75 \), the point (3, 0.75) lies on the graph of the function.
Thus, the point (3, 0.75) **is** on the graph of the function \( y = 0.75x - 1.5 \).