find the slope and y - intercept of the line. graph the line. 7x - 2y = 14 what is the slope of the line…

find the slope and y - intercept of the line. graph the line. 7x - 2y = 14 what is the slope of the line? select the correct choice below and fill in any answer boxes within your choice. a. the slope is $\frac{7}{2}$. (type an integer or a simplified fraction.) b. the slope is undefined. what is the y - intercept of the line? select the correct choice below and fill in any answer boxes within your choice. a. the y - intercept is - 7. (type an integer or a simplified fraction.) b. there is no y - intercept. use the graphing tool to graph the line. click to enlarge graph

find the slope and y - intercept of the line. graph the line. 7x - 2y = 14 what is the slope of the line? select the correct choice below and fill in any answer boxes within your choice. a. the slope is $\frac{7}{2}$. (type an integer or a simplified fraction.) b. the slope is undefined. what is the y - intercept of the line? select the correct choice below and fill in any answer boxes within your choice. a. the y - intercept is - 7. (type an integer or a simplified fraction.) b. there is no y - intercept. use the graphing tool to graph the line. click to enlarge graph

Answer

Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Starting with $7x−2y = 14$, we solve for $y$. First, subtract $7x$ from both sides: $-2y=-7x + 14$.

Step2: Isolate $y$

Divide each term by $-2$: $y=\frac{7}{2}x-7$.

Answer:

The slope is $\frac{7}{2}$ and the y - intercept is $-7$.