Question

nolan plots the y-intercept of a line at (0, 3) on the y-axis. he uses a slope of 2 to graph another point. he draws a line through the two points. which equation represents nolan’s line?
○ $y = 2x + 1$
○ $y = 2x + 3$
○ $y = 3x + 2$
○ $y = 3x + 5$

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Identify values of m and b

We know that the y - intercept $b$ is the y - coordinate of the point where the line crosses the y - axis. The line crosses the y - axis at $(0,3)$, so $b = 3$. The slope $m$ is given as 2.

Step3: Substitute m and b into the equation

Substituting $m = 2$ and $b = 3$ into the slope - intercept form $y=mx + b$, we get $y=2x + 3$.

Answer:

B. $y = 2x + 3$