Question

quiz: final exam practice
24 of 49
this quiz: 49 point(s) possible
this question: 1 point(s) possible
give the slope and the y - intercept of the line with the given equation. then, graph the linear equation.
y = 2x + 3

what is the slope? select the correct choice and fill in any answer boxes within your choice.
a. the slope is
(simplify your answer.)
b. the slope is undefined.
what is the y - intercept? select the correct choice and fill in any answer boxes within your choice.
a. the y - intercept is
(type an integer or a simplified fraction.)
b. there is no y - intercept.
graph the equation.
click to enlarge graph

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 slope from the equation

Given the equation \(y=2x + 3\), comparing it with \(y = mx + b\), we can see that \(m = 2\). So the slope is \(2\).

Step3: Identify \(y\) - intercept from the equation

Again, comparing \(y=2x + 3\) with \(y = mx + b\), we can see that \(b = 3\). So the \(y\) - intercept is \(3\).

Answer:

Slope: \(2\); \(y\) - intercept: \(3\)