Question

graph this line using the slope and y - intercept: y = - 5x + 8 click to select points on the graph.

Explanation:

Step1: Identify y - intercept

The equation is in slope - intercept form $y=mx + b$, where $b$ is the y - intercept. For $y=-5x + 8$, $b = 8$. So, plot the point $(0,8)$ on the y - axis.

Step2: Identify slope

The slope $m=-5=\frac{-5}{1}$. From the y - intercept point $(0,8)$, move 1 unit to the right (increase in x) and 5 units down (decrease in y) to get the point $(1,3)$.

Step3: Draw the line

Connect the points $(0,8)$ and $(1,3)$ with a straight line and extend it in both directions.

Answer:

Graph the line by plotting the y - intercept at $(0,8)$ and using the slope of - 5 to find another point like $(1,3)$ and then drawing a straight line through them.