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

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

Solution

Solution Steps

Step 1: Identify the slope and y-intercept

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 $.

Step 2: Determine two points on the line

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 $(1, 15)$.

Step 3: Write the equation in a form suitable for plotting

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