Questions: Give the slope and the y-intercept of the line with the given equation. Then, graph the linear equation.
y=3x+5
What is the slope? Select the correct choice below and fill in any answer boxes within your choice.
A. The slope is 3
(Simplify your answer.)
B. The slope is undefined.
What is the y-intercept? Select the correct choice below and fill in any answer boxes within your choice.
A. The y-intercept is 5
(Type an integer or a simplified fraction.)
B. There is no y-intercept.
Graph the equation.
Transcript text: Give the slope and the $y$-intercept of the line with the given equation. Then, graph the linear equation.
\[
y=3 x+5
\]
What is the slope? Select the correct choice below and fill in any answer boxes within your choice.
A. The slope is 3
(Simplify your answer.)
B. The slope is undefined.
What is the $y$-intercept? Select the correct choice below and fill in any answer boxes within your choice.
A. The $y$-intercept is 5
(Type an integer or a simplified fraction.)
B. There is no $y$-intercept.
Graph the equation.
Solution
Solution Steps
Step 1: Identify the slope and $y$-intercept directly from the equation
The given equation is in the form $y = mx + b$. Thus, we can directly identify the slope ($m$) as 3 and the $y$-intercept ($b$) as 5.
Final Answer:
The slope of the line is 3 and the $y$-intercept is 5.