graph this line using the slope and y - intercept: y = 6x + 3 click to select points on the graph.

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 $y = 6x+3$, the slope $m = 6$ and the y - intercept $b = 3$.

Step2: Plot y - intercept

The y - intercept is the point where the line crosses the y - axis. So, plot the point $(0,3)$.

Step3: Use slope to find another point

The slope $m = 6=\frac{6}{1}$. From the point $(0,3)$, move 1 unit to the right (increase $x$ by 1) and 6 units up (increase $y$ by 6) to get the point $(1,9)$.

Step4: Draw the line

Draw a straight line passing through the points $(0,3)$ and $(1,9)$.

Answer:

Plot the points $(0,3)$ and $(1,9)$ and draw a straight line through them.