Question

2-99. graph and label the equation y = -2x + 9.

Explanation:

Step1: Find the y - intercept

Set $x = 0$ in the equation $y=-2x + 9$. Then $y=-2\times0 + 9=9$. So the y - intercept is the point $(0,9)$.

Step2: Find the x - intercept

Set $y = 0$ in the equation $y=-2x + 9$. Then $0=-2x + 9$, which gives $2x=9$ and $x = 4.5$. So the x - intercept is the point $(4.5,0)$.

Step3: Plot the points and draw the line

Plot the points $(0,9)$ and $(4.5,0)$ on the coordinate grid. Then draw a straight line passing through these two points and label the line as $y=-2x + 9$.

Answer:

Graph the line with y - intercept at $(0,9)$ and x - intercept at $(4.5,0)$ and label it as $y=-2x + 9$.