Question

ercept form. 6) $y = -3x + 6$ $m=-3$, $b = 6$ $(0,6)$

Explanation:

Step1: Identify slope - intercept form

The equation of a line in slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $y=-3x + 6$, the slope $m=-3$ and the y - intercept $b = 6$ (the point $(0,6)$).

Step2: Plot the y - intercept

First, plot the point $(0,6)$ on the y - axis.

Step3: Use the slope to find another point

The slope $m=-3=\frac{\Delta y}{\Delta x}$. Starting from the point $(0,6)$, if $\Delta x = 1$, then $\Delta y=-3$. So, another point is $(0 + 1,6-3)=(1,3)$.

Step4: Draw the line

Connect the points $(0,6)$ and $(1,3)$ with a straight line and extend it in both directions.

Answer:

The line $y=-3x + 6$ is correctly graphed as shown in the provided image with a y - intercept at $(0,6)$ and a slope of $-3$.