Question

question graph the line with the equation y = - 1/2x + 7.

Explanation:

Step1: Identify slope and y - intercept

The equation is in slope - intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For $y=-\frac{1}{2}x + 7$, the slope $m=-\frac{1}{2}$ and the y - intercept $b = 7$.

Step2: Plot the y - intercept

The y - intercept is the point where the line crosses the y - axis. Plot the point $(0,7)$.

Step3: Use the slope to find another point

The slope $m=-\frac{1}{2}=\frac{\text{rise}}{\text{run}}$. From the point $(0,7)$, move 2 units to the right (run = 2) and 1 unit down (rise=-1) to get the point $(2,6)$.

Step4: Draw the line

Draw a straight line passing through the points $(0,7)$ and $(2,6)$.

Answer:

The graph of the line $y =-\frac{1}{2}x + 7$ is a straight - line passing through the points $(0,7)$ and $(2,6)$.