Question

give the slope and the y - intercept of the line with the given equation. then, graph the linear equation.
y = 2x + 8
what is the slope? select the correct choice below and fill in any answer boxes within your choice.
oa. the slope is
(simplify your answer.)
ob. the slope is undefined.
what is the y - intercept? select the correct choice below and fill in any answer boxes within your choice.
oa. the y - intercept is
(type an integer or a simplified fraction.)
ob. there is no y - intercept.
graph the equation.
click to

Explanation:

Step1: Identify slope-intercept form

The linear equation is given in the slope-intercept form $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Extract the slope

Compare $y=2x+8$ to $y=mx+b$. The coefficient of $x$ is $m=2$, so this is the slope.

Step3: Extract the y-intercept

In $y=2x+8$, the constant term is $b=8$, so this is the y-intercept.

Step4: Graph the line

1. Plot the y-intercept point $(0, 8)$ on the coordinate grid.
2. Use the slope $\frac{2}{1}$: from $(0,8)$, move 1 unit right and 2 units up to plot a second point $(1, 10)$, or 1 unit left and 2 units down to plot $(-1, 6)$.
3. Draw a straight line through the plotted points.

Answer:

Slope:

A. The slope is $2$.

Y-intercept:

A. The y-intercept is $8$.

Graph:

A straight line passing through points such as $(0, 8)$, $(1, 10)$, and $(-1, 6)$ on the coordinate grid.