Question

complete the table for $y = -2x + 5$. when $x = 0$, $y = $ when $x = 2$, $y = $ draw the graph of $y = -2x + 5$. label the graph as $y = -2x + 5$

Explanation:

Step1: Identify the function

The given function is $y = -2x + 5$.

Step2: Calculate y when x=0

Substitute $x=0$ into the function.
$y = -2(0) + 5 = 5$

Step3: Calculate y when x=2

Substitute $x=2$ into the function.
$y = -2(2) + 5 = -4 + 5 = 1$

Step4: Calculate y when x=-3

Substitute $x=-3$ into the function.
$y = -2(-3) + 5 = 6 + 5 = 11$

Step5: Calculate y when x=-2

Substitute $x=-2$ into the function.
$y = -2(-2) + 5 = 4 + 5 = 9$

Answer:

1. Completed table values:

• When $x=0$, $y=5$
• When $x=2$, $y=1$
• When $x=-3$, $y=11$
• When $x=-2$, $y=9$

1. For the graph of $y=-2x+5$:

• Plot the points $(-3,11)$, $(-2,9)$, $(0,5)$, $(2,1)$ on the coordinate grid.
• Draw a straight line passing through these points to represent the linear function.