evaluate linear function for given x values
Check the final answer first, then review the worked steps.
Problem
evaluate linear function for given x values
Answer
For $x = -6, y = 22$; for $x = -3, y = 13$; for $x = 0, y = 4$; for $x = 3, y = -5$
Step-by-step solution
To fill in the table for the function $y = -3x + 4$, we substitute each given $x$ value into the equation and solve for $y$.
- Calculate $y$ for $x = -6$: Substitute $-6$ for $x$ in the equation: $y = -3(-6) + 4$. Multiplying $-3$ by $-6$ gives $18$. Then, $18 + 4 = 22$. So, when $x = -6$, $y = 22$.
- Calculate $y$ for $x = -3$: Substitute $-3$ for $x$ in the equation: $y = -3(-3) + 4$. Multiplying $-3$ by $-3$ gives $9$. Then, $9 + 4 = 13$. So, when $x = -3$, $y = 13$.
- Calculate $y$ for $x = 0$: Substitute $0$ for $x$ in the equation: $y = -3(0) + 4$. Multiplying $-3$ by $0$ gives $0$. Then, $0 + 4 = 4$. So, when $x = 0$, $y = 4$.
- Calculate $y$ for $x = 3$: Substitute $3$ for $x$ in the equation: $y = -3(3) + 4$. Multiplying $-3$ by $3$ gives $-9$. Then, $-9 + 4 = -5$. So, when $x = 3$, $y = -5$.