Questions: Use the slope and y-intercept to graph the line whose equation is y=x+14.

Solution Steps

The given equation of the line is $y = x + 14$. This is in the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Here, the slope $m = 1$ and the y-intercept $b = 14$.

To graph the line, we can use the y-intercept and another point. The y-intercept is the point $(0, 14)$. Using the slope $m = 1$, we can find another point by moving 1 unit up and 1 unit to the right from the y-intercept. This gives us the point $(1, 15)$.

The equation $y = x + 14$ is already suitable for plotting in the Cartesian coordinate system.

Final Answer