graph this line using the slope and y - intercept: y = -\\frac{1}{7}x + 10 click to select points on the…

Explanation:

Step1: Identify the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-\frac{1}{7}x + 10$, the y - intercept is $b = 10$. So, plot the point $(0,10)$ on the y - axis.

Step2: Identify the slope

The slope $m=-\frac{1}{7}$. This means for every 7 units we move to the right along the x - axis, we move 1 unit down along the y - axis. Starting from the point $(0,10)$, move 7 units to the right to $x = 7$ and 1 unit down to $y=9$. Plot the point $(7,9)$.

Step3: Draw the line

Connect the two points $(0,10)$ and $(7,9)$ with a straight line. This line represents the graph of the equation $y =-\frac{1}{7}x+10$.

Answer:

Graph the line by plotting the y - intercept $(0,10)$ and using the slope $-\frac{1}{7}$ to find another point $(7,9)$ and then connecting them.