Question

give the slope and y-intercept of the line whose equation is given. then graph the linear function.
( y = -2x + 7 )

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the slope is (-2).
(simplify your answer. type an integer or a fraction.)
b. the slope is undefined.

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the y-intercept is (square).
(simplify your answer. type an integer or a fraction.)
b. there is no y-intercept.

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 and y - intercept from the given equation

For the equation $y=-2x + 7$, comparing it with $y=mx + b$:

• The coefficient of $x$ is the slope. So, $m=-2$, which means the slope is - 2.
• The constant term $b$ is the y - intercept. So, when $x = 0$, $y=b$. In the equation $y=-2x + 7$, when $x = 0$, $y=7$. So the y - intercept is 7.

Answer:

For the slope: A. The slope is - 2.
For the y - intercept: A. The y - intercept is 7.