Question

graph the following linear equation.

$y = 3x + 7$

step 1 of 3: determine the slope and y-intercept.

answer 2 points

if \undefined\ is selected, the slope value is undefined. otherwise, the box value is used.

slope : $\square$ $\bigcirc$ undefined

y-intercept : $(0, \square)$

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 (the value of $y$ when $x = 0$, so the $y$-intercept is the point $(0,b)$).

Step2: Identify $m$ and $b$ from $y = 3x+7$

For the equation $y = 3x + 7$, comparing it with $y=mx + b$, we can see that $m = 3$ (this is the slope) and $b = 7$ (this is the $y$-coordinate of the $y$-intercept). So the slope is $3$ and the $y$-intercept is $(0,7)$.

Answer:

slope : $\boldsymbol{3}$ $\bigcirc$ Undefined
y - intercept : $(0,\boldsymbol{7})$