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 nolans line?
$y = 2x + 3$
$y = 2x + 1$
$y = 3x + 5$
$y = 3x + 2$

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.

Step2: Identify \(m\) and \(b\)

We are given that the \(y\) - intercept \(b = 3\) (since the line crosses the \(y\) - axis at \((0,3)\)) and the slope \(m = 2\).

Step3: Substitute \(m\) and \(b\) into the formula

Substitute \(m = 2\) and \(b = 3\) into the equation \(y=mx + b\). We get \(y=2x + 3\).

Answer:

\(y = 2x+3\) (the first option)