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?
① ( y = 2x + 1 )
② ( y = 2x + 3 )
③ ( y = 3x + 2 )
④ ( 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 given values

We know the slope $m = 2$, and the y-intercept is at $(0,3)$, so $b = 3$.

Step3: Substitute into the formula

Substitute $m=2$ and $b=3$ into $y = mx + b$.
$y = 2x + 3$

Answer:

$y=2x+3$ (the second option)